{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Compare data to predictions\n",
    "\n",
    "In the previous [notebook](https://github.com/hundredblocks/ml-powered-applications/blob/master/notebooks/train_simple_model.ipynb), we trained a simple model and looked at its accuracy, precision, recall, and f1-score. These are fine aggregate metrics, but we'd like to gain a deeper understanding of our model's performance, and its shortcomings.\n",
    "\n",
    "In order to do that, we will start by looking at a confusion matrix, then plot an ROC curve, and finally a claibration curve.\n",
    "\n",
    "First, we load data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from pathlib import Path\n",
    "from sklearn.externals import joblib\n",
    "\n",
    "import sys\n",
    "sys.path.append(\"..\")\n",
    "import warnings\n",
    "warnings.filterwarnings('ignore')\n",
    "%matplotlib inline\n",
    "%load_ext autoreload\n",
    "%autoreload 2\n",
    "\n",
    "from ml_editor.data_processing import (\n",
    "    format_raw_df,\n",
    "    get_split_by_author,\n",
    "    add_text_features_to_df,\n",
    "    get_vectorized_series,\n",
    "    get_feature_vector_and_label,\n",
    ")\n",
    "from ml_editor.model_evaluation import get_confusion_matrix_plot, get_roc_plot, get_calibration_plot\n",
    "\n",
    "data_path = Path('../data/writers.csv')\n",
    "df = pd.read_csv(data_path)\n",
    "df = format_raw_df(df.copy())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Then, we add features and split the dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "df = add_text_features_to_df(df.loc[df[\"is_question\"]].copy())\n",
    "train_df, test_df = get_split_by_author(df, test_size=0.2, random_state=40)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We then load the trained model and vectorizer"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "model_path = Path(\"../models/model_1.pkl\")\n",
    "clf = joblib.load(model_path) \n",
    "vectorizer_path = Path(\"../models/vectorizer_1.pkl\")\n",
    "vectorizer = joblib.load(vectorizer_path) "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We use the vectorizer on our data to produce features that are ready for the model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "train_df[\"vectors\"] = get_vectorized_series(train_df[\"full_text\"].copy(), vectorizer)\n",
    "test_df[\"vectors\"] = get_vectorized_series(test_df[\"full_text\"].copy(), vectorizer)\n",
    "\n",
    "features = [\n",
    "                \"action_verb_full\",\n",
    "                \"question_mark_full\",\n",
    "                \"text_len\",\n",
    "                \"language_question\",\n",
    "            ]\n",
    "X_train, y_train = get_feature_vector_and_label(train_df, features)\n",
    "X_test, y_test = get_feature_vector_and_label(test_df, features)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Finally, we get the model's predictions on a held out test set"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "y_predicted = clf.predict(X_test)\n",
    "y_predicted_proba = clf.predict_proba(X_test)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Confusion matrix\n",
    "\n",
    "First, I'll plot a confusion matrix, which gives us a clear way to view which class our model performs well on."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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uXwAAkLfqSzauNtHtCwAAkEcI/gAAAPII3b4AACAv1adJGLWJzB8AAEAeIfMHAADyFpk/AAAA5DQyfwAAIG+R+QMAAEBOI/MHAADyFpk/AAAA5DSCPwAAgDxCty8AAMhbdPsCAAAgp5H5AwAAeYnt3QAAAJDzyPwBAIC8ReYPAAAAOY3MHwAAyFtk/gAAAJDTCP4AAADyCN2+AAAgb9HtCwAAgJxG5g8AAOQtMn8AAADIaWT+AABAXmJ7NwAAAOQ8gj8AAIA8QrcvAADIW3T7AgAAIKeR+QMAAHmLzB8AAAByGpk/AACQt8j8AQAAIKeR+QMAAHmLzB8AAAByGsEfAABAHqHbFwAA5CX29gUAAEDOI/MHAADyFpk/AAAA5DQyfwAAIG+R+QMAAEBOI/MHAADyFpk/AAAA5DSCPwAAgDxCty8AAMhbdPsCAAAgp5H5AwAAeYnt3QAAAJDzyPwBAIC8ReYPAAAAOY3MHwAAyFtk/gAAAJDTCP4AAADyCN2+AAAgb9HtCwAAgJxG5g8AAOQtMn8AAADIaWT+AABAXmJ7NwAAANQ5M1tkZp+a2UdmNjM8t4OZvWJm88I/24Tnzcz+bmbzzewTMxtQWf0EfwAAIG+VZf9q65GFIe7e390Hhse/l/Squ/eS9Gp4LEmHS+oVPs6RNKayign+AAAA6r+jJT0UPn9I0jFx5x/2wLuSWptZp3QVEfwBAADULy7pZTObZWbnhOd2dPdl4fPvJO0YPu8s6du4axeH51JiwgcAAMhbdTDho13ZOL7Qfe5+X1KZA919iZl1kPSKmX0Z/6K7u5l5VRtA8AcAAFB7CuPG8VXI3ZeEf64ws2cl7SNpuZl1cvdlYbfuirD4Ekld4y7vEp5LiW5fAACQt+rbhA8z297MCsqeSxom6TNJz0s6Iyx2hqTnwufPSzo9nPW7n6SiuO7hCpH5AwAAqD92lPRsGCg2kvS4u082s/clPWlmv5b0taQTw/IvSfqFpPmS1ks6s7IbEPzlueqMGQCw1V577VXXTQByxqxZswrdvX1t3Ku+LfLs7l9J6lfB+R8kHVrBeZd0QTb3IPgDgAjMnDmz8kIAMmJmX9d1G3IZwR8AAMhLbO8GAACAnEfwBwAAkEfo9gUAAHmLbl8AAADkNDJ/AAAgb5H5AwAAQE4j8wcAAPIWmT8AAADkNDJ/AAAgb5H5AwAAQE4j+AMAAMgjdPsCAIC8xN6+AAAAyHlk/gAAQN4i8wcAAICcRuYPAADkLTJ/AAAAyGlk/gAAQN4i8wcAAICcRvAHAACQR+j2BQAAeYtuXwAAAOQ0Mn8AACAvsb0bAAAAch6ZPwAAkLfI/AEAACCnkfkDAAB5i8wfAAAAchrBHwAAQB6h2xcAAOQtun0BAACQ08j8AQCAvEXmDwAAADmNzB8AAMhLbO8GAACAnEfmDwAA5C0yfwAAAMhpBH8AAAB5hG5fAACQt+j2BQAAQE4j8wcAAPIWmT8AAADkNDJ/AAAgb5H5AwAAQE4j8wcAAPIS27sBAAAg5xH8AQAA5BG6fQEAQN6i2xcAAAA5jcwfAADIW2T+AAAAkNPI/AEAgLxF5g8AAAA5jcwfAADIW2T+AAAAkNMI/gAAAPII3b4AACAvsbcvAAAAch6ZPwAAkLfI/AEAACCnkfkDAAB5i8wfAAAAchrBHwAAQB6h2xcAAOQtun0BAACQ08j8AQCAvEXmDwAAADmNzB8AAMhLbO8GAACAnEfmDwAA5C0yfwAAAMhpBH8AAAB5hG5foJ5o1KiRevfurR49eqhLly4qKChQo0aNVFRUpBUrVuiDDz7QggUL6rqZQCTWrVunzz//XF9++aUKCwtVXFysVq1aqWPHjtp7772100471XUTkSfysduX4A9IY9y4cRo1alSVrv3ss8+0xx57pC2z77776pRTTtEBBxygvn37arvttktbfvHixfrXv/6lO++8UytXrsyoHa+//roGDx6cabPTysd/JBGdTz/9VE8//bRefvllvf/++yopKUlZtlevXvrtb3+rs88+W82bN4+sDZs3b9aAAQP02WefJZyvzs96RW666SZdffXVCecOPvhgTZ06NbJ7AFVFty9Qh0aOHKnf/e53GjBgQKWBnyR16dJFf/rTn/TFF1/o8MMPr4UWbrVhw4ZavR9yy6BBg7Tnnnvquuuu07vvvps28JOkefPm6aKLLtKAAQM0a9asyNpx6623lgv8orZgwQJdf/31NXoPRKdsuZfaetQHZP6AemTjxo1asGCBFi5cqKKiIjVo0EDt2rVTv3791L59+1i5jh07asKECRoxYoQmTpxYK22bMGFCrdwHuWnevHnlzjVs2FB77LGHOnfurFatWqmwsFDvvfeeVq1aFSszZ84cDRkyRK+99poGDhxYrTbMnz+/VoKy0aNH858l1GsEf0AWunfvnnHZTZs2VVqmtLRU77zzjp577jm98cYbmjlzprZs2VKunJlp6NChuu2227T77rtLkpo0aaJx48apd+/e+uGHH1LeY+TIkWratGnG7S6734wZM9ShQ4fYuYceeiirOoCKNGrUSEceeaTOPPNMDRkyRAUFBQmvb9myRQ8//LAuvfRSFRUVSZLWrFmjo48+WnPmzFGLFi2qfO/zzjtPxcXFkqQWLVpo7dq1VX8jKTz66KP673//W6P3QLTqSzauNhH8AVn4+uuvI63viiuuqLT7S5LcXS+//LIGDRqkN954QwMGDJAktWvXTuedd55uuOGGlNcuX74863YNGTIkIfBbsmSJXnnllazrAco0btxY55xzjv70pz+pc+fOKcs1atRIZ511lvbbbz8dcMABsSzg0qVLddttt+maa66p0v0feeSRWFDWuXNnnXTSSbr99turVFcqP/74oy699NLY8XXXXZdwDNQXjPkD6lAmgV+8tWvX6uKLL044d9RRR0XZJEnSGWeckXD86KOPqrS0NPL7IH/MmDFD//znP9MGfvH69OmjW2+9NeHc448/XqV7//DDDwlB2J133lku4xiFyy67TN9//70k6YgjjtCxxx4b+T0Qrdoe71dfsowEf8A2Ztq0aVq3bl3suGfPnpHWv/3222vEiBEJ5+jyRXVVZemWU089NWGm79y5c6uUyb7ssstUWFgoSRo+fLiOP/74rOuozNSpUzVu3DhJUrNmzXTXXXdFfg8gKgR/wDbG3WNjoSRVawxURUaMGJFQ5/vvv6/Zs2dHeg8gE02bNtUuu+yScG7p0qVZ1fH666/rwQcfjNV39913R9W8mI0bN2r06NGx4z/84Q/q0aNH5PcBosKYP2Ab07RpU7Vr1y52vGzZskjrT+7yJeuHutSoUeKvqc2bN2d8bXJQdvXVV2vnnXeOrG1l/vKXv2jOnDmSpN69e+uyyy6L/B6oOfWlK7Y2kfkDtjEnnHCCmjRpEjt+8803I6u7a9euCQtCb9y4scrjrIDqcnctXLgw4dyOO+6Y8fU33nij5s6dK0naZZdddMUVV0TaPkn68ssvdfPNN8eO77nnnoSfT6A+IvMHZOFvf/ub9t9/f3Xr1k2tWrVSUVGRvv/+e82cOVOvv/66nnrqqYTxeFHr379/wgzF0tLSSMcWnXbaaWrQYOv/CSdOnJjxTiJA1N56662EZYw6dOiQ8djB2bNn65Zbbokd/+Mf/8hoIfVsuLvOOeec2LJOp556qoYMGRLpPVDzyPwBSOvCCy/UwIED1b59ezVp0kTt27dXnz59dPrpp2vcuHFatGiRrrjiisj+MWnYsKHat2+vQw89VGPGjNGMGTMSunxvuukmzZw5M5J7SdLpp5+ecEyXL+pS8n9sjjjiiIx+tpKDspNPPlmHHXZY5O0bO3as3nrrLUlS69at9de//jXyewA1gcwfEKF27drplltu0WGHHaYTTzwxYaeCTJx77rm69957Ky23adMmXXvttbrpppuq2tRy9ttvP+26666x4xUrVmjSpEmR1Q9k49VXX9XTTz8dOzYzXXjhhRld+8ADD2jatGmSpFatWkW+np8U/HzEdyP/5S9/yapLGvVHPmb+CP6ADHz++eeaOHGiZs2apfnz52v16tXafvvttdNOO2nIkCEaNWqUdthhh1j5oUOH6plnntGwYcOyXssvnQ0bNuiee+7RXXfdFfmC08kTPR577LEKdxsBatoPP/ygUaNGJZw788wz1b9//0qvXb58ua688srY8Q033KCOHTtG3URdfPHFsSERe++9t84999zI7wHUFII/II3Jkyfrrrvu0gcffFDh65988okmTpyoa665RnfffXdCAHXIIYfoj3/8o6699trI2tOsWTONGjVKZqZbbrlFK1asiKTeJk2a6KSTTko4R5cv6kJJSYlGjhypxYsXx8516dJFt912W0bXxwdle+21l84///zI2zhlyhQ98cQTkoKhGffee2/CWFlsW/Ix88e3FUjj3//+d8rAL97atWs1atSocl22l1xySUJGsDKPPfaYunfvHnv07t1bP/vZz3TxxRdrxowZkqS2bdvq0ksv1WeffRbZ4PKjjjpKbdq0iR1//PHH+vjjjyOpG8jG7373u9g2bFLwH5Px48erdevWlV47efJkjR8/XpLUoEEDjRkzJvKgbP369TrvvPNix+eff35su0UgSmbW0Mw+NLOJ4fGDZrbQzD4KH/3D82Zmfzez+Wb2iZlV+oUk+AMidOGFF2rRokWx45YtW2rkyJEZX7927Vp9/fXXscecOXM0bdo0/e1vf9N+++2nESNGaPXq1ZKk9u3ba+LEidp7772r3e7kLt+yRXGB2nTjjTdqzJgxseMGDRro4Ycf1gEHHFDptclB2ejRoyP52Uj25z//Obb8TKdOndLuqw1U00WSklfYv9zd+4ePj8Jzh0vqFT7OkTRGlSD4AyK0efPmcjMUo5xl+J///EfHHntsbJ/d5s2b68EHH6xWt0WHDh3085//PHa8efNmPfbYY9VuK5CN++67T3/4wx8Szt19993lhiOkcu2118b+47XjjjvqxhtvjLqJ+uSTTxImj9x+++1q2bJl5PdB7amve/uaWRdJR0h6IIPiR0t62APvSmptZp3SXUDwB0QsvstKkvbYY49I63/ttdf05JNPxo779Omj4cOHV7m+U045RY0bN44dT548ObY5PVAbnnrqqYSsnRRkAZPPpfLxxx/rjjvuiB3fdtttGXUTZ6O0tFTnnHNObBLUYYcdllVWH4jTzsxmxj3OqaDMnZKukFSadP7GsGv3DjMrW7iys6Rv48osDs+lxIQPIGLx3b6SEtbli8pTTz2V8Itn6NChVV6Whe3cUJemTJmiU089NZbNlqTLLrtMV199dcZ13HzzzbGgrH///jrggAPK/RwmS16GqbCwsNyQjfjxuq+88kps3G2DBg10+eWXV3qP+EkrklRcXJxwTYMGDTJetBo1pw4mfBS6+8BUL5rZkZJWuPssMxsc99JVkr6T1ETSfZKulHRdVRpA8AdEbMOGDQnHzZo1i/we8+bNSzju2bNnlerZc8891a9fv9jxDz/8oOeff75abQMyNX36dB133HGxxZgl6eyzz9att96aVT3xP3MfffSRevTokXVbLr/8cl1++eWx44suukh33nlnhfcoLS1NGCqRqRkzZiS0rVWrVlmvBYq8cICko8zsF5KaSmppZo+6+6nh6xvNbJyksk2kl0jqGnd9l/BcSnT7AhFLzvTFb08VleTN7au6bVVy1m/8+PHl6gZqwocffqgjjjhC69evj5078cQT9c9//rMOW4V8VN/G/Ln7Ve7exd27Sxop6TV3P7VsHJ8FlRwj6bPwkuclnR7O+t1PUpG7L0t3DzJ/QMSSZxguXbo08nt07pw4nKMq6/01bNhQp5xySsI5unxRG+bMmaOf//znKioqip07/PDD9eijj7JeHpDaY2bWXpJJ+kjS6PD8S5J+IWm+pPWSzqysIn7KgIglz0588803I7/HoYcemnC8YMGCrOsYPnx4wnZUX3zxhd5///1qtw1I55tvvtHQoUMTJhUddNBBeuaZZxImHmVjwoQJcvesHtdcc01CHePGjUt4Pb7LV5KOOeaYrO9RtiRMmYMPPjjhdbp864f6lvmL5+5T3f3I8Pkh7r622PNXAAAgAElEQVSHu+/u7qe6+9rwvLv7Be6+c/h6pRu+17vgz8yuNbPCum5HXQgXcJwZdzzKzNzMWoTHHcLPp3tdtRHp7b333uWCvxdffDHSe+ywww7ltpKqyj2Y6IHa9v3332vYsGH69tutExMHDhyoF154oUbGxgKoWL0L/pDgRUmDFKRxJamDpGskda+rBuWTs88+Wy1atMi4/G677aZnn31WDRs2jJ1755139Nprr1VY/rDDDsto8dp4BQUFeu655xJmIc6cOVOzZs3Kqp7WrVvrl7/8Zey4pKREjz76aFZ1ANlYvXq1hg8frjlz5sTO9e3bV5MnT2atPKCWMeavHnP37yWx4Fod+b//+z/dfPPNeuyxxzR+/Hi99957KikpKVeudevWGj16tK6++moVFBTEzhcXF+uiiy5KWX/fvn1155136rXXXtNjjz2miRMnphy716JFC5100km65ppr1LXr1kldW7Zs0W9/+9us39tJJ52kpk2bxo7/+9//1sjYRECSNm3apKOPPjphq8R27drp/vvv15o1a7RmzZqM62rXrl1W/ykDKlMHS73UuW0y+DOzHpLukHSIgoGPUyVd4u7zw9cfktTJ3YeFx7tK+lLSs+5+XHhuL0kzJe3i7vPK3SQo01rSPZKOkrRG0t2S2kg6PpyFIzO7VtJv3b1d0rUu6Xfufnd4fLqCbVf6aOtgzcvT9c2b2ShJ4yQVSGon6dPwpdfjvqyNFCzueJ+7X5t0/VRJK9392FT3QHpt27bVhRdeqAsvvFAbNmzQZ599pu+++05FRUVq3ry5unXrpn79+qlRo8QfpS1btuj000/PaAzdIYccokMOOUSS9O2332rOnDlatWqViouLVVBQoO7du6tPnz7lxkOVlJTotNNOi609lg22c0NtWrp0qaZOnZpwrrCwUPvvv3/WdY0bN06jRo2KpmFAntrmgr9wRetXJW2W9BtJWyT9WdIbZraHu/8o6S1Jd5hZQ3cvkXSQpGJJB8ZVdZCk5akCv9A4SYMlXaJgYcXLJO0c3jNb3SU9LGmBggUaT5b0lpn1dfevMrh+maRTJD0m6QJJH0iSu5eEwe7pZvZnd3dJMrOeCt7j0VVoKyrQrFmzjPYK/eabb/SrX/1K06dPz/oeXbt2TcjspbJgwQKdc845KbuU0+nVq5cGDRoUOy4qKtKECROyrgcAtnVVmYSRC7bFMX9nStpJ0uHu/m93f0bScEntJZWNgn9LUgtJPw2PfybpIUltzKx33Lm3Ut3EzPoqWEdntLvf7+4vKNhnr3lVGu3u17n7fe7+qqQpks6S9LWkU9NfGbt+o6RPwsMv3P3dcA8/SfqXpB4KAtUyoyStkFS1bR+g66+/XhMmTMhoq7PS0lJ99NFHGj16tHr37p1R4PfEE0/oggsu0IsvvqiVK1dWWr6kpETTp0/Xr3/9a+2+++5VCvyk8lm/J598UsXFxVWqCwCw7bEwUVRvpOpGjXv9X5J2d/d9ks6/Lmm9ux8RHi+XdLO732FmiyRdJOlqSQ+4+/1mtkLSDe7+9xT3GaUg89fM3Yvjzv9b0r5V6PbdTdJfJO2vYOJGmcfKVu02swfD9zYwqQ0F7r7WzHZX0PU7xN2nJt3vDUmL3P2McAHIhZKecvfLlSTcR7BsL8G9Knr/SNSlSxftuuuu6tq1q9q2baumTZuquLhYK1eu1JIlSzRjxoxqL9vQq1cv9erVS127dlXLli3VpEkTrVmzRkVFRVqwYIE++OCDhAVxUb/Ut39LgW2Zmc1KtwVaVNq0aeNDhgyp6dskePbZZ2vlvaWzzXX7SuokaXkF55dL6hZ3/Jakn5nZ0woyhdPizk1TkClMmfmT1FHSmvjAL5T1arpmViDp5bCNlyrI+BVLekDB1i1RGCvpHjO7QNK+Cj6Lf1VU0N3vU7AvYFmQikosXry43D6dUZs3b165bdsAAIjathj8LZPUt4LzO0r6Me74LUn/p2Dc2xfu/oOZvSXpTknTJa2W9HGa+3wnqcDMmiYFgB2SyhUrGMMXY2ZtksoMUrDX3lB3/zKuXKs098/WU5L+LulESUMkzXD32RHWDwBAzmHM37ZhhqS9whm/kiQz66ygO3VaXLk3FWT3zgmfS0FA2E3SryS97e6lae5TNk0zNmEiXGx5aFK5xQqCxPj9toYllSlbvXRjXF37K/v1+sp2Py+XLXT3DZKeUDAZ5DgF3cUAAAAJ6mvmr4mZHV/B+TckPSjpSkmTzOxPkkoULHxcKCl+R/CPFWT3DpI0RpLc/Ucz+yI893/pGuDun5vZ85LGmFlLBRnHy7V1weUykyVtkPQvM7tNwcSL0Ull3pW0VtL9Zvb/FGQBr5W0JF0bKvBNeK8zzKxI0uakpWLGhvfeIGl8lnUDAIA8UF8zfwUKujGTH33DWa+HKVi3b6yCWbzfSBocLvMiSQqzem+Hh/Gbq5aN84vPEqYySsFYvTvDe72qpKDK3QsljVAQ0E1QMHv3V0lllks6QcE4wuckXawgSJufQRvi6ylWsLzNXgoC4feTXp+pIKD8j7sXla8BAADEq897+9aUejfbt74zs78qbpHn+sTM+kj6XNJh4ZIymVzDFwCIAP+WAtGpzdm+hx56aE3fJsEzzzzDbF9Un5m1lbSrpOslfSapagvAAQCQR+pTNq421dduX2Tnlwq6sTtJGuWkIAAAQApk/rLk7pcp2Oat3nD3BxVMhAEAAFkg8wcAAICcRuYPAADkLTJ/AAAAyGkEfwAAAHmEbl8AAJC36PYFAABATiPzBwAA8haZPwAAAOQ0Mn8AACAvsb0bAAAAch6ZPwAAkLfI/AEAACCnEfwBAADkEbp9AQBA3qLbFwAAADmNzB8AAMhbZP4AAACQ08j8AQCAvEXmDwAAADmNzB8AAMhLbO8GAACAnEfwBwAAkEfo9gUAAHmLbl8AAADkNDJ/AAAgb5H5AwAAQE4j8wcAAPIWmT8AAADkNDJ/AAAgb5H5AwAAQE4j+AMAAMgjdPsCAIC8xN6+AAAAyHlk/gAAQN4i8wcAAICcRuYPAADkLTJ/AAAAyGlk/gAAQN4i8wcAAICcRvAHAACQR+j2BQAAeYtuXwAAAOQ0Mn8AACAvsb0bAAAAch6ZPwAAkLfI/AEAACCnkfkDAAB5i8wfAAAAclrKzJ+ZfVLFOt3d+1XxWgAAANSgdN2+/yPJa6shAAAAtS0fu31TBn/u3q42GwIAAICax4QPAACQt/Ix81flCR9m1tjM2kTZGAAAANSsrII/M2tqZn82s/mSiiV9H/fa3mb2pJntGXUjAQAAola2vVttPuqDjLt9zWx7SVMl7SVpvqQFknaOKzJb0hGSvpJU1ZnCAAAAqEHZZP6uVhD4/dbdd5H0ePyL7r5W0huSDouueQAAAIhSNhM+TpD0mrvfEx5XtAzMIkkDqtsoAACA2lBfumJrUzaZv50kzaqkzGpJraveHAAAANSkbDJ/6yS1r6RMD0k/Vr05AAAAtYfMX3qzJB1uZs0retHM2ksaLuntKBoGAACA6GUT/N0taUdJE8xsp/gXwuMnJLWQdFd0zQMAAKg5LPWShrs/b2Z/lXSZpIUKuoFlZoskdZVkkq539zdqoJ0AAACIQFbbu7n7FWb2pqSLJO2nIODbUdKbkm539xeibyIAAEDNqC/ZuNqU9d6+7j5R0kRJMrMm7r4p8lYBAACgRlR5b19JIvADAADYtmSd+TOzjpJOlvRTSa0kFUn6UNIT7v5dtM0DAACoGfVpEkZtyir4M7NzJd0uqamC8X5lTpF0g5ld6u7/jLB9AAAAiFDGwZ+ZHStpjIJZvrdLmirpO0kdJQ2RdK6ke8xsubtPiL6pAAAA0SLzl97vFWzftre7z0t67UUzu1/Se2E5gj8AAIB6KJvgbw9Jj1YQ+EmS3H2OmT2poAsYAACg3svHzF82s33XSSqspEyhpLVVbw4AAABqUjaZv1clHVpJmUMl/bfqzQEAAKg9ZP7Su0JSFzO738w6xL9gZh3M7AFJ/yPpyigbCAAAgOikzPyZ2fMVnF4s6SxJp5rZHEnLFWzvtqukJpJmSrpb0tHRNxUAACA/mFlDBXHVEnc/0sx6SBovqa2kWZJOc/dNZradpIcl7SXpB0knufuidHWn6/Y9Ms1r20nas4Lze0vydDcEAACoL+pxt+9FkmZLahke3yLpDncfb2b3Svq1giX4fi1ppbv/xMxGhuVOSldxum7fgio+WlZUGQAAACpnZl0kHSHpgfDYJB0i6emwyEOSjgmfHx0eK3z9UKskok2Z+XP3dVVvNgAAQP1Wj7d3u1PBXIuC8LitpFXuviU8Xiypc/i8s6RvJcndt5hZUVg+5Qot2Uz4AAAAQPW0M7OZcY9z4l80syMlrXD3WTXVgKz29i1jZq0VRJrbVfS6u39QnUYBAADUhjrI/BW6+8A0rx8g6Sgz+4WkpgqG0/1NUmszaxRm/7pIWhKWXyKpq6TFZtZIUisFEz9Syir4M7MDJd0mKV2jJalhNvUCAABAcverJF0lSWY2WNJl7n6KmT0l6XgFM37PkPRceMnz4fE74euvuXvaybcZB39mNkDBAs5rJD0o6czwRgsl7S+pu6SXFMxMAQAAqPfq6Zi/ilwpabyZ3SDpQ0ljw/NjJT1iZvMl/ShpZGUVZZP5u1pSiaR93H2hmZ0paYq7XxemGW9WMN34kizqBAAAQAXcfaqkqeHzryTtU0GZYkknZFNvNhM+DpT0vLsvjDtn4Y23SLpc0teSrs+mAQAAAKg92WT+2ijo4i2zWdL2ZQfu7mb2hjJINwIAANQH21C3b2SyyfwVKphBUmaFpB4V1Le9AAAAUC9lk/mbJ6ln3PH7koaaWTd3/9rM2ko6TtKCKBsIAABQU8j8pTdZ0mAzK8v+3aVg5emPzOx1BbN8O0q6O9omAgAAICrZBH/3STpSWyd5vK5gXZkiSQdL2ijpcne/P+pGAgAARK1se7fafNQHGXf7uvuPkl5NOveopEfNrKG7l0TdOAAAAESrStu7JSPwAwAA26L6ko2rTdl0+wIAAGAblzLzZ2afVLFOd/d+VbwWAAAANShdt+//SEq7MTAAAMC2LB+7fVMGf+7erjYbAgAAgJoXyYQPAACAbRGZP+SdHj166MYbb6zrZgDbvCuuuKKumwAAGSH4AwAAeSsfM38s9QIAAJBHyPwBAIC8VJ+2XKtNZP4AAADyCMEfAABAHqHbFwAA5K187PbNOvgzs59IGilpN0nbu/sx4fkukvaUNM3dV0faSgAAAEQiq+DPzK6QdEPcdfHbvzWT9IKk30oaE0nrAAAAalA+Zv4yHvNnZsdKulnS25IOlHRb/OvuPk/Sh5KOjrKBAAAAiE42mb9LJC2SNNzdi81saAVlPpd0UBQNAwAAqGlk/tLrL2mSuxenKbNU0o7VaxIAAABqSjaZv4aSNlVSpl0GZQAAAOoFMn/pLZC0X6oXLfj09pc0u7qNAgAAQM3IJvh7WtI+ZjY6xesXS+ot6d/VbhUAAABqRDbdvrdJOknSP8zsBEmNJcnMrpX0M0mDJX0k6Z5omwgAABC9fN3bN+Pgz93XmdnBku6VdKyksk/rT+Gfz0r6jbsz5g8AAKCeymqRZ3cvlHS8mXVWMP6vraQiSe+6+9c10D4AAIAaQ+YvQ+6+RNIzEbcFAAAANaxKwR8AAEAuIPOXhpn9PcOi7u4XVbE9AAAAqEHZZP5+W8nrrmASiEsi+AMAAPUemb/09khxvrWkvSX9XtLrkm6obqMAAABQM7JZ6uXzNC9PN7PnJX0saaKkdGUBAABQR7LZ4SMtd/9K0nOS/jeqOgEAAGpS2ULPtfWoDyIL/kLLFGzxBgAAgHoosqVeLAhnD5K0Jqo6AQAAakp9ysbVpmyWehmQpo6ukn4taaCkhyJoFwAAAGpANpm/mQqWcUnFwjKXV6tFAAAAtYTMX3q3q+Lgr1TSSknvSXrd3dMFiAAAAKhD2Sz1cllNNgQAAKC25WPmL+PZvmb2dzM7ryYbAwAAgJqVzVIv50rqVlMNAQAAQM3LZszfN5La1lRDAAAAahvdvun9W9LPzaygphoDAACAmpVN8HeDpLmSXjGzwWa2fQ21CQAAoFbk4/Zu2XT7rlAQLDaX9Kokmdl6lV/+xd29VTTNAwAAQJSyCf7mKv0izwAAANuM+pSNq03ZrPM3sCYbAgAAgJqXNvgzs9MlfeTun9RSewAAAGpNPmb+Kpvw8aCkY2qhHQAAAKgF2cz2BQAAwDYumwkfAAAAOYVuXwAAAOS0TDJ/rc1sp2wqdfdvqtgeAACAWpOPmb9Mgr+LwkemPMN6AQAAUMsyCdJWS1pV0w0BAACobWT+KnaHu19X4y0BAABAjaN7FgAA5KV83d6N2b4AAAB5hOAPAAAgj9DtCwAA8lY+dvumDf7cncwgAABADiHzBwAA8lY+Zv7I7AEAAOQRMn8AACBvkfkDAABATiPzBwAA8haZPwAAAOQ0gj8AAIA8QrcvAADIS+ztCwAAgJxH5g8AAOQtMn8AAADIaWT+AABA3iLzBwAAgJxG8AcAAJBH6PYFAAB5i25fAAAA5DQyfwAAIG+R+QMAAEBOI/MHAADyEtu7AQAAIOeR+QMAAHmLzB8AAAByGpk/IENFRUVaunSpCgsLtWbNGm3atEmNGjXS9ttvr44dO6p79+5q1qxZXTcza6tXr9b8+fO1YsUKbdiwQY0aNVJBQUHsPTVt2rSumwhUS7t27dSpUye1atVKDRo0UFFRkZYvX67vvvuu2nWX/fy3bdtWzZo1k5lpw4YNWrlypb755hsVFxdH8A6AaBH8ASls2bJFkyZN0ty5czV//nwVFRWlLW9m6tevn4YPH64999wz0rbcfPPN+uSTTxLOHXfccTr++OOrXOesWbP00ksv6csvv5S7V1jGzNSjRw8dcMABOvzww6t8LyBT3bp103nnnacGDRI7pq644oqs69p99901ePBg7bTTThW+/t1332natGl67733Mq7TzLTzzjurb9++6tWrlzp06JCybGlpqRYtWqRp06bps88+y7r9qB352O1L8AeksHHjRj3xxBMZl3d3ffTRR/roo480aNAg/eY3v4kkazZ9+vRygV91FBUV6d5779XHH39caVl311dffaUNGzYQ/KHGNWjQQCNGjCgX+GWrYcOGOvbYY7XPPvukLdexY0cdf/zx2m233TR+/Hht3LgxbfnWrVvrd7/7nQoKCjJqR4MGDdSzZ0/17NlTs2fP1pNPPql169Zl/D6Qn8ysqaQ3JW2nIE572t2vMbMHJR0sqSwTMcrdP7Igev2bpF9IWh+e/yDdPQj+gCy0bNlSnTp1UsuWLbXddtupuLhYy5cv15IlS1RaWhor984772jVqlX6/e9/r8aNG1f5fmvXrtUjjzwSRdMlSStWrNCNN96o77//PuF8ixYt1LVrV7Vq1UqlpaUqKirSN998ow0bNkR2b6AygwcPVseOHatdz3HHHae999474dyqVau0bNkylZSUqFOnTmrbtm3stb59++qUU07RuHHjUmbBJWm77barMPDbuHGjli1bpjVr1qikpEStWrVS165d1ajR1l+xu+22m84991yNGTOGn6t6ph5m/jZKOsTd15pZY0nTzGxS+Nrl7v50UvnDJfUKH/tKGhP+mRLBH5BGQUGBfvrTn6pfv37q3bu32rRpU2G5VatWadKkSXrxxRdjQeDs2bP13HPPVatr9vHHH9fq1aslSU2bNq3W+KF169bplltuSQj8unfvrpEjR6pv375q2LBhQvnS0lLNnz9f7777rubPn1/l+wKZaNu2rQ499FBJUklJiUpKStSkSZOs69l3330TAr8tW7ZowoQJev/99xMCu913310nnHBCbJxu7969NXToUL388ssZ3WfDhg368MMP9eGHH+rbb79N+M+fJDVr1kyDBw/WwQcfHMtkduzYUSeeeKIeeuihrN8X8ocHX9S14WHj8JH6fyXS0ZIeDq9718xam1knd1+W6gKCPyCF5s2ba8yYMRl1QbVu3Vonn3yyunbtqnvuuSd2/sUXX9RRRx1VpV9is2fP1htvvCEpyDgceeSRevrp5P/wZe7xxx/XsmVb/y0YPHiwzj777JTvr0GDBtpll120yy67qKSkpMr3BTJx3HHHxbLk77zzjvr06aMddtghqzoaN26sYcOGJZx77LHH9Pnnn5cr+9lnn6moqEjnn39+7D8+Bx10kN5++22tXbu2XPky69ev19SpUzV9+nRt3rw5ZbkNGzZo0qRJWrZsmUaOHBn7Oevbt6969uypr776Kqv3hppRR4s8tzOzmXHH97n7ffEFzKyhpFmSfiLpH+4+w8zOk3Sjmf1J0quSfu/uGyV1lvRt3OWLw3Mpgz+WegFSMLOsxx4deOCB6tOnT+x448aNFf7iqcyWLVs0duzYWKZixIgRCd1U2ZozZ46mTp0aO95zzz3TBn7JkrOCQJQGDBigXr16SQpmn0+ZMqVK9QwaNCihW/bjjz9O+/P37bff6q233oodN2nSREOGDElZftWqVbrllls0derUtIFfvLJxwPH69++f0bXIWYXuPjDucV9yAXcvcff+krpI2sfMdpd0laTekvaWtIOkK6vaAII/IGLJM31XrFiRdR3PPfecli5dKknq2rVrtSdbPPPMM7FAslGjRjrjjDOqPageiELz5s115JFHxo5feOGFSidepJIcVL355puVXjNt2rSELtt0gdnGjRurNF5vxowZCcc9evTIug7UnLLsX209suHuqyS9Lmm4uy/zwEZJ4ySVzWhaIqlr3GVdwnMp8a8/ELHtt98+4TjbcXpLly7V888/Lyn4R+mss86qVubt+++/T8h+9OvXT506dapyfUCUjjzySLVo0UKSNHfu3IxmoVekZcuW6tKlS+y4sLBQ3377bZorAqtXr9aCBQtixwUFBSmXhqmq+OEWUtBWIBUza29mrcPnzSQNlfSlmXUKz5mkYySVrR/0vKTTLbCfpKJ04/0kgj8gcj/88EPCcevWrbO6fuzYsbEupYMPPli77rprtdrz1ltvJQx0HzRoULXqA6Ky8847a+DAgZKkzZs3a8KECVWuq6zbuMzChQszvnbRokVp66qu5DGzDKNAJTpJet3MPpH0vqRX3H2ipMfM7FNJn0pqJ+mGsPxLkr6SNF/S/ZLOr+wGTPgAIrRly5ZyXTy9e/fO+PqpU6dq9uzZkoLlV04++eRqt6msvjI/+clPql0nUF2NGjXScccdFzueOnWqCgsLq1zfjjvumHCcSdavzNdff522rupKHq+bbkIJal99W+rF3T+R9NMKzh+SorxLuiCbexD8AREpKSnRuHHjErp4fvrTn2b8i2T16tV6/PHHY8cnn3xyxovJphOfAWnatKnat28vSVqzZk1sd4MVK1ZozZo1atGihdq2bau+fftq//33j7z7CyhzyCGHxL6LhYWFev3116tVX1ldZZIz8OmsXLkybV3VtfvuuyccL168ONL6gWwR/AHVUFxcrMLCQn355Zd65ZVXErINrVu31plnnplxXY888kgsI7DLLrto8ODB1W7fihUrtH79+thxmzZtZGZ6//33df/995fLQKxatUqrVq3SggUL9MILL2j//ffXmWeeqebNm1e7LUCZDh06JHy/n332WW3ZsqVadSZn1yrbjjHeqlWrEo7btWtXrbbEa9SoUbkFp7/44ovI6kf11bfMX20g+AOycN5552X0S6Vbt2668MILM/4l8umnn2r69OmSgvFAZ511ViT/ICX/UmvatKmmTp2q++4rt7JAOe6u6dOn6+uvv9ZVV12VcoFrIFsjRoyI7X7x8ccfa968edWuM3krxWy6Vjdv3qxNmzbF1uPcbrvtZGZpd/vI1CGHHJLws7N69epIt2sEqoLgD4hQz5499Ytf/EL77bdfxkupbNq0SWPHjo0dDx8+PLLu1visnxR0hcXfa4899tDBBx+sLl26qEGDBlq6dKneeustzZo1K1Zm8eLF+vvf/64//vGPLA+Datt3331jS50UFxfrhRdeiKTe5IXUs80kbt68OaGOJk2aVHnJmTLdunUrt27gSy+9VO0sJ6JF5g9AtSxcuFAvv/yymjRpEpvFWJn//Oc/sbUAd9hhB40YMSKy9iQHf2VbxZmZRo0apaFDhya83qVLF+2zzz6aNm2a7r333tj6Z3PmzNGUKVOqvd4g8luLFi0SvkNTpkyJfSerq7rBX3L56gZ/BQUFOvXUUxNm9n7xxRf64IMPqlwnEBWCPyALN9xwQywgKi0t1YYNG7R8+XJ9/vnnmj59ujZs2KC5c+fq9ttv16BBgzR69OjYllUV+eabb/Tiiy/Gjk8//fRy3VfVkarbavjw4eUCv3gHHnigVqxYkbCd3KRJkzRs2DCWqUCVHXXUUbHxo0uWLNHbb79dY/fKtss2uXx1skGNGzfWqFGj1KpVq9i5lStX6sknn6xynagZdbS9W52jDwfIQtu2bdW+fXu1b99eO+64o7p37659991XZ511lu68804NGDAgVvadd97RP/7xj5R1lZaW6oEHHoitAda/f3/ts88+KctXxXbbbVfhuUyyi7/85S9ji+9KwYzMKMZmIT/tuuuusd0zSktL9Z///CeSMXVlNm3alHCc7j9dFUkuX9WsX4MGDXTaaaepa9etGy6sW7dOY8eOLZeJB+oKwR8QkYKCAl1yySXq27dv7Nx7772XMrvx6quvav78+ZKCLqZRo0ZF3qaKsoj9+vXLaPZu48aNywWjc+bMiaxtyB+NGzfWscceGzt+7733slqHLxPJwV/ZhJJMJQd/yfVl6sQTT0xY23Pjxo0aO3ZslbZ5BGoKwR8QoYYNG5YL4l566aVy5VauXKnx48fHjo855hh16NAh8vZUFOT17Nkz4+t33nnnhOPkbaqATAwbNlaa75wAACAASURBVEw77LCDpGAW7qRJkyK/R/I2isnbLKbTuHHjhDGDGzdurFJW8qijjkrI/m/evFkPPvgg6/rVc/V5b9+awpg/IGKdO3dW165dY5mNhQsXau3atQldqFOmTIltEN+mTRvtu++++v7779PWu2bNmoTj9evXJ1zTpEmThDFGktSxY8dy9WSz3VxyfexMgGw1btxYBx54YOx42rRpatq0aaVjW5NnlicvNbR69eqEbdN+/PHHhO9769atK/2Zii8bL5sFossMGzYs4X2WlJTo8ccfT9g3GKgvCP6AGtCxY8dY8OfuKiwsTAj+4ruUVq5cqf/93//N+h6TJ0/W5MmTY8d77bVXuXqaN2+u1q1bJ6z3l013WHJXWNmew0CmGjZsmDBJaPjw4Ro+fHjW9Vx11VUJx3fccUdCJnrFihXq06dP7Lgs05iJ5MAy2y7an/3sZzrssMNix6WlpXrqqaf0+eefZ1UP6kZ9ycbVJrp9gRqQPCO2LoOm+IHnkmIZx0ysW7cu4Tg+gAXqk+XLlyccZ7NWZnLZbIK/gQMH6ogjjkg49/zzz7OkC+o1gj+gBvz4448Jxy1btqyjlkh77rlnwvGSJUsyvnbp0qUJx+zygfoqeSZ62ULSmUguO3fu3Iyu22OPPTRixP9v787jpCrvfI9/vho0MqCIqCgIKJEsMkHinlHBLTG+EjVGHJeJGo3LJK7ZNJPMBRNzNXOTMfH6ilcTXJIx121EjTEEF3BJFBWXiEiuRkAbAYMLYCLg8rt/PE/h6aK6ugua7qbO9/161av6nHrOc57qrur61e9ZzhdadVFPnjx5nS5hY53PY/7MbK299dZbvPDCC6u2e/XqtVoX1PHHH8/xxx/fUL333XcfV1xxxartI444giOPPLLd43bddVeuu+66VdszZ87s8Dmry44YMaLDx5pBmojxrW99q+Hjzj///Fbvm/bqWLp0KS0tLQwePBhI1+ctjr1ty6abbtpqYtOyZct48cUX223fjjvuyDHHHNMqyz9t2jTuvffedo81627O/Jl1sjvuuKPV1QJGjhzZ8JpjnWnrrbduFbS1tLR0aCzSnDlzmD179qrtXr16tRpTZdbTPPnkk622991333aP2XvvvVtl7qrrqGXIkCEcf/zxrcbPPvzwwzVn9lvPV8bMX7cGf5ImSFrcxmPXSHqssH2ipJDU0KCjeufoaSRNk3RzYbtV2yWNyPs6Pl3T1thvf/vb1ZaPaM/DDz/Mbbfd1mrf/vvv35nNWiPjxo1rtT1x4sTVZg8XvfXWW1x55ZWt9o0dO9Zj/qxHe+ihh1q9rkeNGlX3C8vgwYPZZ599Vm2vXLmSqVOn1j3HwIEDOemkk1otoP7EE08wadKktWi5WddanzJ/vwX2Asq0RPovgE8XtkcA4wEHf11g0qRJnH322fzyl7/kueeea7WsRLU5c+bws5/9jEsvvXTV5d8ARo8ezS677NIVza1rp512anWt4YULF/K9732v5timuXPncuGFFzJv3rxV+zbddFMOP/zwLmmr2Zp6++23mTJlSqt9xx13HLvttttqGZeddtqJU045pVW37f333193OaN+/frx5S9/udX6mfPmzWPKlCn069ePzTffvMO36qVszLrSejPmLyL+CnRs0aYmEREtgFcH7UbLli1btaRKr169GDx4MP369aN379688847vPnmm7z00ks1L04/fPhwzjjjjG5odW2nn346F1xwwaoxUPPnz2fChAlsu+22DBo0iA022IAFCxasNt6pV69enHnmmZ7sYeuF6dOnM2TIEHbbbTcgvX7HjRvHQQcdxMsvv8x7773HwIEDGTBgQKvjZs+ezV133VW37uHDh682eWvo0KGcd955Dbfzoosu4vXXX2/4OOtcPakrtiutN8GfpBOBq4G+EfFm3jcEuAIYCywELgA+CwyIiLFVx48GLgc+DvwZOCsiHmjnnNvl+vcDFgEXAgcX65d0DTAyInYtHDcMmAN8LiLuyPu+DhxNyt4tBx4Bzo2I5+ucfwJwRkQMkDQW+E1+aE5+sc4DPgG8DJweEdcUjhXwF+C2iDi33vO0jnn77beZM2dOu+UkccABB3Dssce2u5BtV+rduzfnnXcel112WauxfC+//PJqs3orKpesK16uyqynu+WWWwBWBYCQsnZtLXA+a9Ysrr/++k691rBZT9Yjgj9JtdpRNxTPwc3tpC7Qk0gB1b8DW5KCnqLewLXAJaQgcTxwi6ShEVGzGznXfxswADg5138B0B9Yk6vbDwYuIwVsmwKnA3+UtGNELOnA8Y8D3wB+BBwBLABWRMRrkiYBJwLXFMqPBbYHrlqDthpwzjnnMGPGDJ555hnmz5/f7gdD37592XPPPdl///0ZOnRoF7WyMf379+e73/0uU6ZM4e67724z6OvTpw9jx47l0EMP9Tg/W++8++673HTTTTz77LOMHTu2zTX/Fi5cyIMPPsgjjzzSxS20nsSZv+6xBdDWCrgz6hx3CDAK2D0iHgWQ9Agwl9WDv02AcyLi3lxuAfAEsC8wmdo+A4wG9oyI6fm4GbnuhoO/YvZN0obAXcArwGHALztw/FJJf86bT0TE3MLDE4EpknaIiMoaI18CZkTE09V1SToVOBVYrevD3jdy5EhGjhwJpEuptbS08Morr7B06VJWrlzJBhtsQO/evdl0000ZOnQoW2+99Tptz5gxYxgzZsxa17PBBhususrCvHnzmD9/Pq+//jrvvfceffv2ZdCgQQwfPtxjkqxbXXzxxWtdx8yZM5k5cyYDBgxgm222oV+/fkhi6dKlLFq0qOFrVc+YMYMZM+p9LJmtH3pC8LcEOLDG/vHANnWO2w1YWAn8ACJifg7Qqq0EphW2Z+X7wXXq3x1YVAn8cv3z2qi/XZL2BL5P6qYtLvrWGQun3UPKKJ4AjJfUF/gCUHNhrIi4ErgSYIcddnA/Rwf07t2bESNGNN06d0OHDu2xWUqzzrJ48WIWL14vFn2wbuDMX/d4JyIeq94p6VXqB38DqT0B5K9A36p9yyJi1RTMiFiZ/9j1BmQNJGXmqr1So/668tjEKaRxfqeRxuitJM1gXutBYRERkq4GTsrjBI8CNgR+vbZ1m5mZWXPpCcHfmlpIGt9XbUvS+LzOqH+rGvu3AooXR10ObFRVpnpa5MGkcYeHRcTfYNU4x45febx9V5OypfuRxv/dGhGeSmZmZlZHGTN/6/OgnkeBgZJ2r+yQNAjorEXVHgW2lrRHof4hpG7bohZgmKRiBu9TVWU2Ad4D3insO4rGg++V+X61bGFEvETKLl4A7E0KBs3MzMxaWZ+DvzuBp4AbJR0j6XDgDtKSLO/VPbKx+m/K9R9B6qat7gq+FegD/ELSgZK+SZp9XHQvqRv2akkHSDoLuBh4o8E2VSZ8nCZpD0n/WPX4RFLg10KaUGJmZmbWynob/EVad+MwYDYpy/VT0jp+s4DVV9xds/oPzfVdRVom5jLgoapyM0nB3l6kpWfGkGbaFss8TeqK3YMUoB4LjCNNdmmkTfNIy70cAfyB99f9q7iDlF28tjjG0czMzGor47V9u3XMX0RMACa08diJVdvX0Hodu0owdHBlW9JmwEWkIK3uOSKi3b9ARLxYrD+f46Aa5VZrG1XrFEbEr4BfVZUZVlVmbNX2BKraHhE/Bn7cRpP3J2UYq9tiZmZmBqzfEz6QdDqpi/c50kSPrwEbU7KFjSVtC+xI6kq+s95VQ8zMzCzpSdm4rrTedvtmy4FzSWPxribNwj0wZwTL5FTSWn/LgTO7uS1mZmbWg63Xmb82ulvX9TmP7MrzdUS97nMzMzNrmzN/ZmZmZtbU1uvMn5mZmdnacObPzMzMzJqagz8zMzOzEnG3r5mZmZWWu33NzMzMrKk582dmZmal5cyfmZmZmTU1Z/7MzMyslHx5NzMzMzNres78mZmZWWk582dmZmZmTc3Bn5mZmVmJuNvXzMzMSsvdvmZmZmbW1Jz5MzMzs9Jy5s/MzMzMmpozf2ZmZlZazvyZmZmZWVNz5s/MzMxKyZd3MzMzM7Om5+DPzMzMrETc7WtmZmal5W5fMzMzM2tqzvyZmZlZaTnzZ2ZmZmZNzZk/MzMzKy1n/szMzMysqTnzZ2ZmZqXlzJ+ZmZmZNTUHf2ZmZmYl4m5fMzMzKyVf29fMzMzMmp4zf2ZmZlZazvyZmZmZWVNz5s/MzMxKy5k/MzMzM2tqzvyZmZlZaTnzZ2ZmZmZNzcGfmZmZWYm429fMzMxKy92+ZmZmZtbUnPkzMzOzUvLl3czMzMys6TnzZ2ZmZqXlzJ+ZmZmZNTVn/szMzKy0nPkzMzMzs6bm4M/MzMysRNzta2ZmZqXlbl8zMzMza2rO/JmZmVlpOfNnZmZmZk3NmT8zMzMrJV/ezczMzMyanoM/MzMzsxJxt6+ZmZmVlrt9zczMzKypOfgzMzOz0qpM+uiqWwfa80FJj0h6StIzki7I+7eXNF3S85JukLRR3r9x3n4+Pz6svXM4+DMzMzPrOVYA+0fEKGBn4GBJewI/BC6JiA8BrwMn5/InA6/n/ZfkcnU5+DMzM7PS6mmZv0jezJu98i2A/YGb8/5rgcPzz4flbfLjB6idEzn4MzMzM+tBJG0o6UngFeAu4C/AGxHxTi7SAgzKPw8CXgLIjy8BtqhXv2f7mpmZWWl1w2zfAZIeK2xfGRFXFgtExLvAzpL6AZOAj3RmAxz8mZmZmXWdxRGxa0cKRsQbkqYCewH9JH0gZ/cGA/NzsfnAdkCLpA8AmwGv1qvX3b5mZmZmPYSkLXPGD0mbAAcBzwJTgSNzsROA2/LPt+dt8uP3RkTUO4czf2ZmZlZKPfTavtsA10rakJSkuzEi7pA0C7he0oXAE8DEXH4i8CtJzwOvAUe3dwIHf2ZmZmY9RET8CRhdY/8LwO419i8HxjVyDgd/ZmZmVlo9MPO3znnMn5mZmVmJOPNnZmZmpeXMn5mZmZk1NWf+zMzMrLSc+TMzMzOzpubgz8zMzKxE3O1rZmZmpeVuXzMzMzNras78mZmZWSn10Mu7rXPO/JmZmZmViDN/ZmZmVlrO/JmZmZlZU3Pmz8zMzErLmT8zMzMza2oO/szMzMxKxN2+ZmZmVlru9jUzMzOzpubMn5mZmZWWM39mZmZm1tSc+TMzM7NS8uXdzMzMzKzpOfNnZmZmpeXMn5mZmZk1NQd/ZmZmZiXibl8zMzMrLXf7mpmZmVlTc+bPzMzMSquMmT8HfyU3Z86cxccee+y87m6HtWsAsLi7G2HWBPxeWj8M7e4GNDMHfyUXEVt2dxusfZIei4hdu7sdZus7v5esWhkzfx7zZ2ZmZlYizvyZmZlZKfnybmbWk13Z3Q0waxJ+L1npOfgzWw9EhD+wzDqB30tm7vY1MzOzEnO3r1nJSJogqZTLPki6RtJjhe0TJYWkPnl7q/z7GdZdbbSer957qL3XWGeco6eRNE3SzYXtVm2XNCLv69c9LTRz8Gdm7/stsBfw97y9FTAeGNZdDbKmU/0aK4NfAJ8ubI8gva8c/PUQlUkfXXXrCdzta2YARMRfgb92dzuseZXxNRYRLUBLd7fDrMiZP7N2SNpe0q2SlkpaJuk3kj5UePxaSVMK2x/OXVu3FPbtkvftWOc8/ST9WtKbkhZI+o6kH0maWyhTs/sr131GYft4SQ9Kek3S65KmSqq7sG2xSy539T6dH5qa94ekDSW9LGlCjeOnSZpU7xxWbrW6fSUNkfQ7SW9JmpPL3CxpWo3jR0t6WNLfJT0haZ8OnHM7SXfm+udK+nJ1/dXd03nfsNzWzxb2fV3So5KWSFpU/b+gjfOves9KGgv8Jj80J9c/V1J/ScslnVh1rCS9IOmS9p6nrbkyZv4c/JnVIWlj4B7go8ApwInA9sB9kvrnYg8Ae0naMG/vCywH9i5UtS+wKCKeq3O6q4HPAOcCpwKfAo5ew6YPA34JjAOOBV4CHpC0QwePXwAcl3/+Kqmrbq+IeBe4Fjhehf9iud59gavWsL22npP0geobUPeTLr+Gbie9v04CvgacBexRo3hv0mvvCuALwArgFkm926n/NmAkcHKu/2zS63lNDAYuAw4j/T/YEPijpM06ePzjwDfyz0fkdnw+Il4DJpH+vxSNJf2/8fvKOpW7fc3q+xIwBBgRES8ASJoOvACcBlxECv76AKOBx4B9SB9SJ0v6SETMzvseaOskknYCDgeOjogb8r6pwIvA0kYbHRHfK9S9AXAXsDvwL8D32jqucPwKSX/Km7Mi4uHCw1cB55M+mKbmfScCrwC/a7St1hS2AN5u47EZdY47BBgF7B4RjwJIegSYC/ylquwmwDkRcW8utwB4gvSlY3Ib9X+G9L7cMyKm5+Nm5LrrfRGrKSLOrfycv+zdRXrdH0b6stXe8Usl/TlvPhERcwsPTwSmSNqh8r+G9P9nRkQ8ja0zPSUb15Wc+TOrb3fg8cI/48oYnj+QM3sR8WfSB0ClC2pfUhD0eGHf3tQJ/oDd8v1thfO8SfpwaZikj0qaJGkR8C7pg/nDpMHmayVnL+8nZylyduV44FcR8c7a1m/rpSWk13D17Y52jtsNWFgJ/AAiYj61A8aVwLTC9qx8P7hO/buTMu7TC/XPa6P+dknaU9Jdkl4F3iFNXOlDJ7yvSD0M84AT8rn6kjKcV3dC3WatOPgzq28bYFGN/YuA/oXtB4B9JG1HyhQ+WNj3UWBL6gd/A4FlEbG8av8rjTY4f2hMAbYjdXPtQ/qQfQr4YKP1tWEi8IU8dmt/YCjumiqzdyLiseob8Go7xw2k9gSQWvuWRcR7lY2IWJl/rPeaHkjt99CavK+GkN5XImX9/4n0vnqlnTZ0SEQEKdA7IX+hOorUrfzrta3brJq7fc3qWwDsVGP/1sBrhe0HgO+Qsn6zIuJVSQ8APyFlCZeSgq+2LAT6SvpgVQC4VVW55cBGxR2SNq8qsxcpG3JQ7nKulOvouKSOuAm4lPQBtR8wPSKe7cT6rRwWkr4YVduS9FrvjPqr30PkfW8Vtld7XwHV76uDSeMOD4uIv0Ea50jrL4Fr62rSMjD7kTLrt0bE651Yv1XpSZMwupIzf2b1TQd2kbR9ZYekQcAnSdm9ivtJH1in5p8hBYRDSRMu/ljMWtRQ6fY6rHCePsBBVeVaSEHioMK+T1WV2STfryjU9UkaX6+vzcxKRLwF/F/SZJAjcNeUrZlHgYGSdq/syK/tXTqx/q0lrZpAkjN4n6gq1wIMk1R8rdd6X71H6u6tOIrGkyj13lcvkbKLF5CGivh9ZeuEM39msJGkI2vsvw+4BjgP+J2k/0EaPzceWEyadVjxFCm7ty9wOUBEvCZpVt73nXoNiIhnJN0OXC5pU1LG8ZusvhjuZFLG4ipJPybNBDy9qszDwJvAzyX9BykLOAGYX68NNbyYz3WCpCXA27krr2JiPvdbwPUN1m0GcCfpvXOjpG+TXkvjScMq6n1ZarT+mySdR/pCdAGrd/veSpoI9QtJ15AmiZxUVeZeUjfs1ZImknoEvgG80WCbKhM+TpN0PfD3qgkdE0mZ9RbWcMyvNcaZP7Ny6kv6Z1t92ykiVgAHArNJ/5SvJQVFY/PyDADkrN4f8+b971e9apxfMUvYlhNJ3/p/ks91D1VBVUQsJg0CH0z6wPoXUmaxWGYRaYmXgaQJJOeQgrTnO9CGYj3LSctZ7EIKhB+tevwxUkB5S0QsaaRuM1g1zu0w0vvrauCnpC9Ps1iDWe5t1H9oru8q4BLSUi0PVZWbSQr29iItPTOGNNO2WOZp0nt0D9JElmNJ77OGXvt5wsk3SBnzP/D+un8Vd5Cyi9e201tgtsaU3htm1hNJ+hFwZEQM6+62VJP0MeAZ4MCIuKe722PNIY9NfQG4LCLGr6Nz3AwMiIix66L+tSHpEFIAOCIiGvrCZo0bNWpUTJ7c1kpB68a22247IyLqLrq/rrnb18waImkL0rIx3wdmkrrDzNaIpNNJXbzPkcbNfg3YmJLNHpe0LbAjcDFwpwM/W5cc/JlZoz5H+mCeDXwx3H1ga2c5aVztUCCAR0jZ5Hnd2qqudyrwXdL6oGd2c1tKpYxj/tzta2ZmZqU0atSo+P3vf9+l59xmm226vdvXEz7MzMzMSsTdvmZmZlZaZez2debPzMzMrEQc/JnZek/SMEmRF+gt7r8m7x/WLQ1rUKPtlTRN0loP3JY0V9Lcta2nnXN0SlvNOlPl8m5deesJHPyZWYfkoKR4e1fSYkn3Sjq2/RrWP20FlWZm6zOP+TOzRl2Q73sBHyFdoWE/SbtGxNe6r1k1fZu0blqjl7Yzs5LoKdm4ruTgz8waEhETituSDiBdg/QcSZdGxNzuaFctEbGAdJ1kMzPL3O1rZmslX9ptNiBgN2jdXSpphKQbJL0i6T1JYyvHSuov6SJJz0p6S9ISSfdI+lStc0nqK+k/JbVIWi5ptqSv0cb/snpj6CTtnts1X9IKSQskTZF0VH58AjAnFz+hqsv7xKq6Pi3pztwNvkLSXyT9L0n92mjXgZIekPQ3Sa9JulXSR+r8mjtM0kaSzsjtmZfb85qkuyV9pp1jN5N0Wf6dLJc0S9JZaiM1ImkPSTdLWihppaSXJF2hdLUKs/VCGcf8OfNnZp2h8h+tekD/cGA68P+A64BNgKUAkoYC04BhwAPAZOAfgM8CkyWdFhE/X3UCaWPgHlKA+VSurx/w78CYhhornQJcDrwL3E66tNhWwK7AV4Abc9v6AWfn891aqOLJQl3jgQnAa6Rrsr4CfBz4BnCIpL0iYmmh/JHADcDKfL8A2Bt4CPhTI8+jDf2BnwJ/JGVk/wpsQ7oyy52STomIX9Q4biPgbtJzvj5vfyHX9WHgq8XCkk4CrgRWkH6HL5EuT/Zl4HOS9oyIFzvh+ZhZJ3PwZ2ZrRdKBpOAggEerHt4buCgi/q3GodeSLul1TERcX6ivHynwulTS7RGxKD/0dVLgdwswLiLey+UvBmY00N6PAT8jBaH7RMQzVY8PBoiIaUozYM8Gnqzu7s5l9yMFfg8Bh0TEG4XHTgSuJo2RPDfv6wNcQbqW7T4R8Vih/CXAOR19HnW8DgyNiJaqtm4G/AH4D0nXRcRbVcdtA7wAjIyIFfmY8aS/6Vck3RAR9+f9I4D/A8wFxkTEqjGVSsMAppCCxs93wvMxs07mbl8za4ikCfn2A0k3kzJ2An5S43qsi3h/gkixjlGkbN1/FwM/gBxAjQc+SMo8VXyJFDR9qxL45fJzgEsbeAr/Svri+/3qwC/X17L6IW06K9+fUgz8cj3XkDKExxV2H0bKzP26GPhlE4AlDZy7pohYUes5RMQS0jWZNyd3z9fw7Urgl495Dfh+3vxSody/kib8nF0M/PIx95AygZ+T1HeNn4hZF3G3r5lZ+8bn+wDeIHXZToyI/6pR9qliMFGwV77fTGlsXbUt8/1HIY31Az4EvBQRf6lRflqhXe3ZM9//roPl69kLeBsYJ2lcjcc3AraUtEVEvAp8Iu+/r7pgRCyR9CQNdmHXImkn4JvAvqSM3gerigyqcdg7pK7iatPy/ejCvsrfb4ykWoHkVsCGwAgayMqaWddw8GdmDYmIRr66Lmxj/xb5/qB8a0uffL9Zvl/URrm2zlNLZRJGZyz/sgXp/2h7gWcf4FU693nUJGlP4N7crkoWbikpa7ozKfu4cY1DF0fEu3XatFlhX+Xv9812mtOnncfNul1PycZ1JQd/ZrYutXVFh0r35tkR0ZEu20r5rdt4fGADbap0zw4izVJeG0uADSKifwPloXOeR1u+S5pYs19ETCs+IOnbpOCvlgGSNqwRAFbaVOySrvy8WXEyi5mtHzzmz8y6w8P5fp+OFI6IZcDzwCBJw2sUGbsG56677ElWCYQ2rFPX5rmbtSMez/erde3mCRk7d7Ceej4EvFYd+LV13oIPAJ+ssX9svn+isK+hv59ZT9XV4/16SpbRwZ+Zdbk82eEB4Ii8ZMhqJP2jpK0Ku64m/c/6oaQNCuW25/2JFx1xOWl827/nmb/V5x1c2HydlL0c0kZdl+T7n6vG2naS/iF3w1bclus8VtKuVcUn0LprdU3NBfpL+nhVW04GPt3OsRflJXUqx/QnZRIh/f4rLiONdbwkz/xtRWmtQQeGZj2Uu33NrLscSxqbNlHSWaT1AN8ABpPWyRtJmljwSi7/Y+Bw0gzgxyX9njR+7yjgfuDQjpw0ImZJ+gppqZInJN1GWudvC9Is2KXAfrnsm5KmA/tIuo60XuG7wO0R8aeIuEfS+cBFwHOS7iQtDN2HtIzNGOBB4OBCfaeS1vd7QFJxnb+R+Xns29BvcXU/IQV5D0q6kdRFu2s+x83AkW0ct4A0FnCmpNtJs3mPJE0Y+VllmZf8PGbnoP0q4BlJk/PvphcpUN6HtL5gpyxcbbYu9ZRsXFdy8Gdm3SIiWiTtApxJCuiOI3WvLgRmAf8beLpQfkVeU3AC8M+k9ffmAhcCk+hg8Jfr+rmkmaSFmMeSgsrFpEWWqxdA/iIpw3cwcAxpWZuWXJaI+KGkP5Cyj3uTxtQtIU0ouRL4ddW5b5Z0MGmSyFGkRZLvJwW657OWwV9ETJb0OVLG7p9JweojpIB2B9oO/lYCBwL/EzgaGEBa9+9i0t+i+jz/Jekp0vqL+wGfAv4GvEwKMm9Ym+dhZuuOItoaj21mZmbWvEaPHh1Tp07t0nNuvvnmMyKiethHl3Lmz8zMzEqrjN2+nvBhZmZmViLO/JmZmVlpOfNnZmZmZk3NmT8zMzMrpZ608HJXcubPzMzMrESc+TMzM7PScubPzMzMzJqagz8zMzOzEnG3r5mZmZWWu33NzMzMrKk582dmZmal5cyfmZmZmTU1Z/7MzMystJz5MzMzM7Om5syfmZmZlZIv72ZmZmZmTc/Bn5mZmVmJuNvXzMzMSsvdvmZmZmbW1Bz8H+l9rgAAAhlJREFUmZmZWWlVJn101a0D7dlO0lRJsyQ9I+nsvH+CpPmSnsy3QwrHfFvS85L+LOnT7Z3D3b5mZmZmPcc7wNcj4nFJfYEZku7Kj10SET8qFpb0MeBoYCdgW+BuSSMi4t22TuDgz8zMzEqrp435i4gFwIL88zJJzwKD6hxyGHB9RKwA5kh6HtgdeKitA9zta2ZmZtZ1Bkh6rHA7ta2CkoYBo4HpedcZkv4k6SpJm+d9g4CXCoe1UD9YdPBnZmZm1oUWR8SuhduVtQpJ6gP8N3BORCwFLgeGAzuTMoM/XtMGuNvXzMzMSqundfsCSOpFCvyui4hbACJiUeHxnwN35M35wHaFwwfnfW1y5s/MzMysh1CKRicCz0bEfxb2b1Mo9nlgZv75duBoSRtL2h7YEXik3jmc+TMzM7NS6qHX9v0n4IvA05KezPv+DThG0s5AAHOB0wAi4hlJNwKzSDOFv1pvpi84+DMzMzPrMSLiQaBWRHpnnWN+APygo+dw8GdmZmal1QMzf+ucx/yZmZmZlYgzf2ZmZlZazvyZmZmZWVNz8GdmZmZWIu72NTMzs9IqY7evIqK722BmZmbW5SRNBgZ08WkXR8TBXXzOVhz8mZmZmZWIx/yZmZmZlYiDPzMzM7MScfBnZmZmViIO/szMzMxKxMGfmZmZWYk4+DMzMzMrEQd/ZmZmZiXi4M/MzMysRBz8mZmZmZXI/wfqd40huDnzdQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 648x648 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "get_confusion_matrix_plot(y_predicted, y_test, figsize=(9, 9))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Looking at this confusion matrix, we can clearly see that the model seems better at predicting low score questions (it has higher recall for low score questions):\n",
    "\n",
    "- Proportion of low score questions correctly predicted: 537/(537+244) = 68%\n",
    "- Proportion of high score questions correctly predicted: 402/(402+346) = 53%"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## ROC Curve\n",
    "\n",
    "Next, I'll plot an ROC curve, which shows a model's True Positive Rate as a function of it's False Positive Rate."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "get_roc_plot(y_predicted_proba[:,1], y_test, figsize=(10,10))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "ROC curves can help judge the overall performance of a model, but most models are designed with practical applications in mind. These applications often come with specific performance requirements, such as maintaining false positives below a certain rate. To understand model performance better, it can be helpful to visually highlight the relevant part of an ROC curve, as shown below."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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XX3yh3deZ+vyysjKMHTsWSimsWrVKu68jdfkscjaKXLxetVpX/PjNiD59+vTpR+YXFRXh97//Pe69914cPXpUu+9GQvmlpaUYPXo0lFIYOHAgjh07ptXXmVA+i5yNIpdflI/8ony76+zdaCpygL++GdGnT58+/cj8pk2b4tprr0W3bt1QXl6u3Y/V+pSUlGDkyJFQSmHw4ME4ceKEVt+N1PZZ5GwUOd9EY5ED/PHNiD59+vTpR5YVK1agadOmuPjiiz33uKpI/KuvvhoZGRlQSmHo0KE4efKkVj9Wf78scixyUcXkb0b06dOnTz+yZGVloVmzZli6dKmR86+Z4cOHQymFfv36obCwULsfq/VhkbNR5FKyU5CSnRLpGnsvLhQ5wMxvRvTp06dP334qKyvx6quv4oYbbsC2bdu0+3XFTb+oqAjvvvsuWrZsaeT8z/oscjaKHC92CB+TD2b69OnTp193Tpw4gQceeAC//e1vQ/740evzr5mSkpLzbi9i0vxDhUXORpHLystCVl5WpGvrvQSLnKmblT59+vTpx9b/7rvv0LZtW7z++uuorKzU7tuNDv/EiRMYMmQIlixZ4qsyxyJno8j5JsEiZ+pmpU+fPn36sfM//vhjJCUlYcyYMa74kSYa//jx4xg0aBCUUhg1ahQqKiq0+nbils8iF4dFztTNSp8+ffr09fqWZeHgwYPIzc3FiBEj8Prrr+Phhx/GddddhyuvvDLim+N6cX2OHj1afXXqmDFjUFZWptWPJG74LHI2ilz2lmxkb8mOdG29lxrnyJm4WenTp0+fvrOUlJRg48aNmD59Orp27Yof//jHuPHGG3HZZZchISEBd999N5577jn07dsXs2fPxubNmx3fH85L63P48GEMGDAASimMGzfO1p/JS/O3ExY5G0XOrxc7mLZZ6dOnT5++/Zw6dQp///vf0apVK/z4xz/GTTfdhMcffxxvvvkm/vnPf+Lyyy/HnDlz9E26RrywPocOHUL//v2hlML48eND/jg1Gj+a6PRZ5GwUuc6TO6Pz5M6Rrq33EuKqVZM2K3369OnTt5e5c+eiZcuWePrpp7Fly5aQFyp4ef46/NOnT2P48OGYOHFivRdqOPWjjS6fRc5GkfNN6rj9iCmblT59+vTp15+9e/fi8ccfx09/+lMsX75cux9pGto/ffq0oxJn1482OnwWORY5AGZsVvr06dOnHzqVlZUYNGgQEhISoJSq94R+J340iaW/Z88eLFu27Lzbi+jy3Ui0Posci1x1vL5Z6dOnT5/++f769evRvn17/PrXv8bWrVu1+zoSC79du3bo0aMHlFL4+uuvtfteXR8WORtFzq8XO4SKlzcrffr06dP/wS8oKMDLL7+MK6+8EhMmTIj6XSiT1+f777+vLnGZmZkIBALav4ZX14dFjkXuvHh1s9KnT58+/VwkJCQgNTUVLVq0QEpKCo4fP67VN219tm7divT0dCilMGLECOPmH63PImejyPkmETxr1YublT59+vTj3d+5cyfuvPNONG7cGMOGDdPuA2atz3fffVf9Ttz8+fNhWZZR89fhs8ixyNUZr21W+vTp049Xv7i4GGlpaUhISECfPn2wZMkSo+bvhh8IBDBixAgopbBo0aJzfrRswvx1+SxyLHL1xkublT59+vTjzQ8EApgwYQKuueYa/PGPf8SuXbu0+vXFBP/UqVNYvXp1yPMDTZi/Dp9FzkaR8/MNge3EK5uVPn369OPJX7VqFTp27Ig77rgDn332mXbfTrzo79271/aFHV6cv26fRc5GkYu3ix1CxQublT59+vTjwd+5cyf+8Ic/4JprrsGkSZPCXoHptfm76efl5YX8Uaou30ka2meRs1HksrdkI3tLdn3rbEaiKHJAw29W+vTp0/ezX1BQgH/+859ISEhAeno6iouLtfrRxAv+unXroJSCUqrOdyij8aNJQ/oscjaKnG8SZZED/H0w0KdPn35D+JWVlcjMzETz5s3RtWtXHDhwQKuvKw3pr169urrErV27VruvIw3ls8ixyEUcvx4M9OnTpx9rf/HixbjlllvQqVMnfPHFF9p93WkIf+XKldUl7vPPP9fu60xD+CxyNopcVl4WsvKy7K6zd6OpyAH+PBjo06dPPxZ+Tk4OLr/8ctx55524/vrrMXv27Lh6Nmgk/ueff15d4nQU3dq+G4m1zyJno8jxYofQ8dvBQJ8+ffpu+uXl5Zg0aRLuuOMOtGjRAhdffDGWLFmiza8ZE9cnlL948WJkZmZi48aNrvimr09ubi6LXO0RqsilZKcgJTsl0nX2XjQXOcBfBwN9+vTpu+EfPXoUPXv2RIsWLXDfffdh7ty5qKqqMmb+sfYtyzrnCQ05OTla/bMxdX1q+yxyNoqcb+JCkQP8czDQp0+fvk5/06ZNeOGFF9CkSRN07do15LtKXp5/Q/iWZWHBggVYsGBBXD5uy4nPIscipyV+OBjo06dPP1o/EAhg3rx5uP/++5GcnIz09HQcOXJEm+8kpviWZSE7OxtKKaSnp+Pw4cNa/bpius8iZ6PI5RflI78oP9K19V6CRc7UzUqfPn36XvUty8LChQvRvn17tG/fHhMnTkR5ebk2P9p43Q8EApgzZw6UUujZsye+//57rX64mOyzyNkocn672MHUzUqfPn36XvRXrVqFX/3qV7jxxhsxc+ZMx1eg+nV9wiUQCGDWrFlQSqFXr17YuXOnVt9uTPVZ5GwUueSMZCRnJEe6tt5LjXfkTNys9OnTp+8l/8svv8TDDz+MVq1a4YMPPkBlZaVW3414za+qqsL06dOhlELv3r2xe/durX6kMdFnkbNR5HyTGufImbhZ6dOnT98L/oQJE3DRRRfhiiuuwLBhw1BWVqbVN319IvFLSkqQmZmJPn36YO/evdp9JzHNZ5GL0yIHmLdZ6dOnT78h/X379iElJQUJCQl4/vnnkZCQYNT8veqfPn064seSeWn+De2zyMVxkQPM2qz06dOn3xD+0aNH0b17d1xxxRV48803cfz4ca1+XfGrX1FRgXXr1kX9NAu/rk+kYZGzUeQ6ZHVAh6wOka6t91LH7UdM2az06dOnH0u/sLAQSikkJCTgpZdeCvmukZfn70W/vLwc48aNg1JKy41+/bY+TsIiZ6PI+e2q1VAxYbPSp0+ffiz80tJSDBw4EM2aNcOf//xn7NixQ6sfafziL126FGPGjIFSChkZGTh69KhW3/T1ceqzyNkocnn5ecjLz4t0bb2XMDcE9vpmpU+fPn03/crKSowcORJXX301HnvsMWzatEmrH01M95cuXYq//OUvUEph0KBB1T+e1hXT1ycan0XORpHzTWw82cHLm5U+ffr03fADgQCmTp2Ktm3b4r777sOaNWu0+rpiql9SUoKsrCwopdC9e3csXLhQq382pq5PtD6LHIvcefHqZqVPnz593f6iRYvws5/9DB07dsTSpUt5Ar4L/uzZs6GUwtChQ/Hxxx8bN3+v+yxyNopcam4qUnNTbS+qZxPBs1a9uFnp06dPX5efkJCARx99FK1bt8asWbOiLnC1fdPXR6dfXFyM6dOno7Cw0BW/duLNZ5GzUeTi4WKHUPHaZqVPnz59Hdm8eTPatGmDiy66CPPmzdPuA2avjw6/uLi43nLs9fmb5LPI2Shy8fiO3Nl4abPSp0+ffjSxLAtjx45FYmIiRo4ciZycHKPmb4pfUFCAoUOHYt68eSxzMfBZ5GwUOd/EQZEDvLNZ6dOnT99pioqK8D//8z+4+eabz7ka1ZT5m+KfOHECQ4YMgVIKWVlZYR9f5rX5m+izyLHI2YoXNit9+vTpO8mGDRtw/fXXIyUlBcXFxdr9cIkX/9ixYxg0aBCUUhg1ahRKS0u1+k7jd59FzkaRi5f7yIVLQ29W+vTp04/EtywLQ4cORVJSEqZOnardjyR+948cOYKMjAwopTB27Niw78RF6kcbP/sscjaKXLxe7BAqfj4Y6NOn7x//2LFjePTRR/Hzn/8c33//vXbfSfzqHzlyBAMGDIBSCuPGjUN5eblWX1f86rPI2Shyfn/WaqTx68FAnz59f/grV67ENddcg+7du0dcKrwwf9P8kpISjBgxAuPHj0dFRYV2X2f86LPI2ShyvommIgf482CgT5++2X5VVRXS09PRvHlzzJ8/X7uvK370S0pKUFlZ6ZqvM37zWeRY5BzHbwcDffr0zfUPHDiAX//617j33nuxf/9+7b7umO7PnTsXjz/+OHJyclzxTV+fWPoscixyUcVPBwN9+vTN9Pv164crr7wSSilUVVVp901fH93+7t270bt3byil8Ktf/cq4+fvNZ5GzUeSSM5KRnJEc6Rp7Ly4UOcA/BwN9+vTN8isqKvDUU0/hRz/6EQYPHqzdB8xeHzf8nTt3olevXlBKYdasWbypsgd8FjkbRY5XrYaPHw4G+vTpm+Pv3LkTd955Jx555BHMmTPHuPmb6G/fvh09e/aEUgpz5sxBIBDQ6tcV+vWHRc5Gkcsvykd+UX6ka+u9BIucqZuVPn369AFgxowZSEpKwsCBA6sfAWXS/E30t27divT0dCilkJ2dfd6jt7w+fz/7LHI2ipxvEixypm5W+vTpx7dfUlKCv/zlL2jTpg3Wr1+v3Q+XePUty8KYMWOglMKCBQvqfH6qV+fvd59FLg6LnKmblT59+vHpW5aFefPmoW3btnjqqadQUFCg1Y8k8eqXlJRg9erVdZa4aH27oX9+WORsFLmU7BSkZKdEurbeS41z5EzcrPTp048//9tvv8VvfvMb3HDDDVi4cKF230nixd+zZ0/Y4haN7zT0zw2LnI0i59eLHUzbrPTp048f//jx43j11VeRmJiIIUOGRPzEgIaev+n+F198Uef5cDr8aEP/h7DI2ShyWXlZyMrLinRtvZcQV62atFnp06fvf7+yshLvvvsukpKS8NJLL+Ho0aNafZ3xq//5559DKQWlFFatWqXd1xX6Z8IiZ6PI+SZ13H7ElM1Knz59f/uLFy/GzTffjPvvvx9ff/21dt+N+M1fu3ZtdYlbvXq1dl936Bte5ETkIRHZKiLfi8j/hvj1liKSKyJfisjXIvJwODMeixxgxmalT5++P/3x48fjwgsvRIsWLTBnzhxHP8qrL6avT6z88ePHV5e4devWafdNXx+v+sYWORFpLCI7RKSNiFwkIhtF5OZanzNSRP4a/PebRWR3ODdUkcveko3sLdmOFthTCXNDYK9vVvr06fvLLygowBtvvIGEhAR069YNCQkJRs3fT/6UKVOqS1xeXp523/T18bJvcpG7S0QW13j9LxH5V63PyRKRN2t8/upwbjxd7BAqXt6s9OnT94dfVVWFrKwsNG/eHM8//zwOHTqk1a8r9OtOaWkpBg4ciHvuucfI+cezb3KR6yIio2u8flpEhtf6nGQR2SQi+0XkpIjcHs4NVeQ6T+6MzpM7R7SwnozNR3R5dbPSp0/ffD83Nxft2rXDr371K2zYsEG7b+fr0z8Ty7LO+TF2IBAwav70z8TvRa67iLyBH96R2ywiPwphdRORPBHJa9mype3FMy4RPGvVi5uVPn365vpHjhzBf//3f6NVq1aYNm1avefBeXH+fvMty8LHH38c8pxEE+ZP/4eYXOTs/Gj1WxG5psbrnSLSrD43Xi92CBWvbVb69Omb6a9cuRJXX301/vnPf6KkpES77yTx7FuWhfnz50MphR49euDAgQNafTuhr883uchdECxmrWtc7HBLrc/5WESeDf77TSJyQEQa1eeyyJ0bL21W+vTpm+UHAgH07t0bzZs3t/1Uhkj8aBOPvmVZmDt3LpRSSE9Px9atW7X6kYS+Ht/YIndm7vKwiGwLXr36VvBjPUTk0eC/3ywinwVL3lci8ptwZrxf7BAqXtms9OnTN8c/evQofve73+Huu+/G3r17tfu6Ek9+IBDA7NmzoZRCz5498f3332v1nYR+9L7RRc6NwSIXOl7YrPTp0zfD//TTT3HNNdfgH//4R8SP1rLj6048+IFAADNnzoRSCr169cLOnTu1+tGEfnQ+i5yNIuebRFHkgIbfrPTp0/e2n5CQgBdffBHNmjXDvHnztPumr09D+mVlZRg1ahR69+6N3bv65zUwAAAgAElEQVR3a/ejDX3nPosci1xE8fPBQJ8+fec5fvw47rrrLlxwwQWYOnWqdh8we3284JeWliI/P981P9rQd+azyLHIRRy/Hgz06dN3ljVr1qBly5bo3r07lixZYtz8/epXVlZi9erVCAQCrvhuhH7kPoucjSIXbzcEthM/Hgz06dOPLJZlYdCgQUhKSsKcOXO0+3WFfnj/yiuvxJAhQ6CUwqJFi7T7pq+Pn3wWORtFjhc7hI7fDgb69Onbz4kTJ/DYY4+hY8eOIU+c9/r8/eyXl5dj8ODB1Rc2HD58WPvXMHl9/OazyNkoctlbspG9JTvSdfZeNBc5wF8HA3369O1l/fr1uPbaa/Haa6+hvLxcu2839M9PWVkZxowZA6UUevfujeuvv96o+dOP3GeRs1HkfBMXihzgn4OBPn369ceyLAwdOhRJSUmYOXOmdt9J6P+QkpISjBo1CkopDBo0CMePHzdq/vSd+SxyLHJa4oeDgT59+nX7J0+exBNPPIEOHTrYupFspH40oX8m8+bNg1IKQ4YMwcmTJ7X7dYV+w/oscjaKXFZeFrLysiJdW+8lWORM3az06dNvGH/Dhg1o06YNXn75ZZSVlWn3dYT+mR+rzpw5EwUFBa749YV+w/kscjaKnN8udjB1s9KnTz+2vmVZeO+995CUlIRp06Zp93UnHv3i4mLbtxfx4vzpRx8WORtFLiU7BSnZKZGurfdS4x05Ezcrffr0Y+fPnz8fTz75JNq1a4dt27Zp901fHy/4hYWFGDZsGD766COWuTj2WeRsFDnfpMY5ciZuVvr06cfGHzVqFH70ox/h97//PUpLS7X7pq+PF/yTJ09i6NChUEohMzMzor8nL8yfvj6fRS5Oixxg3malT5++u75lWcjKykJiYiLeeust4+YfL/6JEyeq7xM3cuRIlJSUaPV1hH7sfBY5G0Uuvygf+UXOn0/nmYS4atWkzUqfPn33/FOnTuFPf/oTbr31Vnz33Xfa/VChH7l/7NgxDBw4EEopjB49Oqp3TP24PvHos8jZKHJ+u9ihdkzZrPTp03fH37RpE2688UZ07doVxcXF2v36Qt++f+zYMWRkZEAphbFjxzq+grgu343Qd99nkbNR5JIzkpGckRzp2nov9dxHzoTNSp8+ff3+2LFjkZiYiHHjxrni2wl9e/7SpUsxevRojBs3rt4najj1TV+fePVZ5GwUOd8kzA2Bvb5Z6dOnr88/ffo0nnnmGdx000345ptvtPuRhr49f+nSpaioqHDNN3194tFnkWOROyde3qz06dPX42/evBk333wznn76aZw+fVq77zT0z8/+/fsxb948BAIBI+dP332fRY5F7rx4dbPSp08/en/ChAlITEzE6NGjYVmWdj/a0P8he/fuRe/evaGUwrp167T7oULfPJ9FzkaR65DVAR2yOtheVM8mgmetenGz0qdP37lfUlKCF154AT/96U+xceNG7b7O0Ad2796NXr16QSmFGTNmoKqqSqtfX+ib5bPI2Shyfr9qta54bbPSp0/fmb9161bcdttteOqpp1BUVKTddyPx7O/YsQM9e/aEUqrOpzZ4ef70Y+uzyNkocnn5ecjLzwu7mJ5PhEUO8NZmpU+ffuT+pZdeissvvxyZmZmOfpQazjd9fbzmb9++vbrEzZkzp95Hb3lx/vRj77PI2ShyvomDIgd4Z7PSp0/ffkpLS/HXv/4VLVq0QJMmTYybfzz6lmVh/PjxUEph3rx5toq3l+ZPv2F8FjkWOVvxwmalT5++vXz//fdo3749unTpgoKCAuPmH89+WVkZ1qxZE9G7p16aP/3Y+yxyNopcam4qUnNT61lmQxJFkQMafrPSp08/fGbOnImkpCQMGzbsnDJgyvzj0d+9e3e9P0KN1tcR+t71WeRsFLl4vdghVPx8MNCnb7JfXl6O1157Da1bt8b69eu1+3ZCP3L/q6++QlpaGmbOnBn1OYx+XB/64X0WORtFju/InRu/Hgz06Zvol5WVYc6cOejYsSMee+wxnDhxQqsfaejb9zds2AClFJRSWLFihXbfjdD3ns8iZ6PI+Saaihzgz4OBPn3T/MLCQnTq1AkdO3Y870epOnynoR/e79SpU3WJW7VqlXbf9PWhb99nkWORcxy/HQz06ZvkHzx4ED/72c/w17/+9Zybxeryow39urNmzZrqEjdhwgTtPmD2+tCPzGeRs1Hk4vk+cuHip4OBPn1T/O+//x7XXXcdlFJRnVfl1/Xxsr9p06bqEjdx4kTj5k/fez6LnI0ix4sd6o9fDgb69E3wv/jiCyQnJyMzM9MVX3fon5vy8nJ88MEHyMvLc8WvHfr+91nkbBS5eHzWaqTxw8FAn77X/cGDByMpKQkzZsxwxTd9fbzqW5Z1zu1Fat9qxOvzp+9tn0XORpHzTYJFztTNSp9+PPtpaWlo1KgRBg0a5Ipv+vp41bcsC0uWLMH06dP5uC36rvgscnFY5EzdrPTpx6s/YsQIJCcnY+TIkUbOP159y7Lw8ccfQymFHj16YO/evVr9SEPfnz6LXBwWOVM3K3368eZbloW0tDS0adMG27dv1+6HCn09vmVZmD9/fnWJ++6777T6TkPffz6LnI0il5yRjOSM5EjX1nupcY6ciZuVPv148quqqvDyyy+jXbt2OHjwoHa/vtCPzrcsC3PnzoVSCunp6di2bZtWP9rQ95fPImejyPn1qlXTNit9+vHil5WV4cknn0SnTp1QUFCg3bcT+s78QCCA2bNnQymFnj17YseOHVp9XaHvH59FzkaRyy/KR35RfqRr672EuGrVpM1Kn348+EVFRbj//vvxxBNPoLS0VLsfSehH7ldUVGDcuHHo1asXdu3apd3XGfr+8FnkbBQ536SO24+Yslnp0/e7f/jwYXTo0AHdunWz/bQGL82f/pmUl5fjwIEDrvk6Q998n0WORQ6AGZuVPn0/+0uWLEGrVq3w9ttvR/y0Bi/MP5795cuX4ze/+Q2WL1/uim/6+tB312eRs1HkUrJTkJKdEunaei9hbgjs9c1Kn74f/ZMnT6Jr165o2bIlFi5cqN3XFfqhU1FRgQkTJkAphS5duhg3f/rm+yxyNoqcXy92CBUvb1b69P3mz549Gy1atMBLL72EoqIi7b7u0D835eXl+PDDD6GUQv/+/TFv3jyj5k/fHz6LnI0il5WXhay8rIgW1pOx+Ygur25W+vT94l9xxRXo1KkT2rZti08++US7b/r6mOCXlZVh7NixUEohIyMDR44c0erXFfr0a4dFzkaR800ieNaqFzcrffqm+5ZlYcKECWjatCn+4z/+A4sWLdLqn42p62OKX1paitGjR0MphYEDB+LYsWNa/XChT79mWORY5OqM1zYrffom+3v37sXDDz+M2267DZ9//rlx86f/QxYtWgSlFAYPHozjx49r9+2EPv2zYZGzUeSyt2Qje0t22MX0fCIscoC3Nit9+ib6gUAAmZmZSExMRI8ePVBeXq7Vry/03fErKiowe/ZsnDx50hXfbujTB1jkbBW5eLrYIVS8slnp0zfN37ZtG+69917ceeed+Oabb7T7dkJfj19cXGz73n5OfKehT59FzkaR6zy5MzpP7lznIhoTh0UO8MZmpU/fFL+yshIDBgxAQkICBg0aFLYAeG3+9M9NUVERhg8fjqlTp7LM0feczyJno8j5JlEUOaDhNyt9+ib4X3/9NTp27Ihf//rXET1n0yvzp3+uX1hYiGHDhkEphffffx/FxcVafV2hH78+ixyLXETx88FAn340fnl5OVJTU5GYmIiRI0dG/HSGcL6O0I/MP3nyJIYMGQKlFEaMGOG4xNXl6w79+PRZ5FjkIo5fDwb69J36eXl5uOWWW9C5c2fs27dPu68z9O35CxcuxODBg6GUwsiRI1FSUqLVN3196HvHZ5GzUeTi/WKHUPHjwUCfvhN/1qxZSEpKwqRJkxy9CxfOdyP068/ChQvx97//HUopjB49GqWlpVp909eHvrd8FjkWOcfx28FAn34kycnJwcUXX4zExERs2LBBu2/6+pjsV1RUYMiQIUhJScHSpUu1+4DZ60PfWz6LnI0i55toLnKAvw4G+vTtpqqqCq+++iquvfZaNG3a1Lj50w+f8vJyLFu2zNj5048fn0WORS7q+OVgoE/fToqLi/HYY4/hvvvuw8mTJ42bP/3QOXDgAGbPnn3e7UVMmT/9+PVZ5FjktMQPBwN9+uFy6NAhdOzYEU8//TSf0OAjf9++fejTpw+UUvj000+1++FCn340YZGzUeT8dkNgUzcrffoN6W/ZsgWtW7fGO++8E/KiBq/Pn37o7NmzB71794ZSCtOmTavzhr9enT99+ixyNoqc3y52MHWz0qffUP7KlSvRrFkzjB071hXfbujr9Xft2oVevXpBKYWZM2ciEAho9SMNffpOwiJno8hlb8lG9pbsSNfWe6nxjpyJm5U+/Ybwp0yZgqSkJCxZssQVP9LQ1+Pv2LEDPXv2hFIKH330UdgSF6nvNPTpRxoWORtFzjepcY6ciZuVPv1Y+pZloW/fvrjmmmuwceNG7X40oR+9P3XqVCilMHfuXNslLhI/mtCnH0lY5OK0yAHmbVb69GPlV1ZW4sUXX0S7du2wf/9+7b6O0I/Or6iowNq1ax3fxLmh50+f/tmwyNkocll5WcjKy4p0bb2XEFetmrRZ6dOPhX/q1Ck8/PDD+O1vf4vCwkLtvs7Qj8zftWsXKisrXfN1hz59O2GRs1Hk/HaxQ+2Yslnp03fbz8/PR/v27fHCCy+goqJCu+9G6Nvzp06dirS0NEyZMiXiH6Xa8U1fH/rm+ixyNopcSnYKUrJTIl1b76We+8iZsFnp03fTb9KkCZo3b46ePXtqe2ZqTd/09THZnzJlClJTU6GUQk5ODv9+6fvKZ5GzUeR8kzA3BPb6ZqVP3y1/+fLlaNKkCS655BIj50+/7uTl5UEpBaUUHnroIePmT59+uLDIscidEy9vVvr03fA//PBDNGvWDLm5uUbOn37dWbduXXWJ+/TTT42bP336dsIiZ6PI5RflI78oP6KF9WRsPqLLq5uVPn2dvmVZSEtLw7XXXotvv/1Wu19X6MfG/+6776pL3Jo1a7T7dYU+/Vj7LHI2ipzfL3YIFS9uVvr0dfkVFRV49tlncfvtt+PgwYPa/XCh775fWVmJCRMmYP369a749YU+/Vj6LHI2ilxyRjKSM5JtLainE0GRA7y3WenT1+Hv3bsX9957Lzp37oxTp05p9+2Gvjt+zStS67uowavzp08/Up9FzkaR800iLHKAtzYrffrR+tOnT0ezZs3Qq1evOh+OHo0faejr8y3LwvLlyzFp0iTb94rz0vzp03fqs8ixyIWNVzYrffpO/aKiIjz33HO4/vrrsW7dOu1+NKEfvW9ZFhYvXgylFNLS0rBr1y6tfjShT99tP6ZFTkSeE5FlIpIvIgU1Pn6biPQXkTZOJ6NrsMiFjhc2K336Tvy1a9fiuuuuQ9euXev9UapTX0foO/cty8LChQuhlEKPHj2wefNmrb6O0Kfvph+TIiciF4jIPBEJiMhpETkiIoEav54gIuUi8o7TyegaoYpch6wO6JDVwdaCezpRFDmg4TcrffqR+FVVVUhPT0ezZs0wY8YM7b7u0I/ctywL8+bNg1IK6enp2Lp1q1ZfZ+jTd8uPVZH7p4hYItJPRC4UEVWzyAU/Z7mIrHY6GV2DV63WHz8fDPT940+ZMgX33HMP7rvvPuzbt0+7b/r6+MEPBAKYM2cOlFLo2bMntm/frtV3I/Tpu+HHqshtEpG1NV6nhihyI0Uk3+lkdI1QRS4vPw95+Xn2V9ur0VDkAP8eDPT94f/73/9Go0aN8OKLL2p9pubZmL4+fvHPXtjQq1cv7Ny5U7tv+vrQjx8/VkWuVEQyarwOVeR6i0iZ08noGjxHzl78eDDQN9svLCzEn//8Z9xwww0YMWKEcfOnH7m/fPlyHDhwwDXf9PWhHx9+rIpcgYhk1XgdqshNFJEjTieja7DI2Y/fDgb65vqfffYZWrdujRdffBGnT5/W7ocK/dj7VVVV+OSTT1BZWWnk/OnTd8OPVZH7RER2iMiFCFHkROQSETksIgudTkbXCFXkUnNTkZqb6nC5PRTNRQ7w18FA3zy/srISqampaN68OebMmaPdDxf6sfMrKysxadIkKKUwa9Ys7X6o0Kdvgh+rIvds8GKHD0XkJzWLnIj8p4hMDl7R+rjTyegavNgh8vjlYKBvlr9jxw7cddddePDBB5GfX/ezkL06f/r2U1FRgQkTJkAphX79+p3z41QT5k+fvpt+zO4jJyJTg2XulIjsDRa3FSJSGPz4WKcT0Tn4jpyz+OFgoG+Gb1kWxo8fj8TERAwaNMjWBQ1emj/9yFJeXo5x48ZBKYX+/fvj0KFDWn07oU/fy36sbwj8iohsDxa3s2OXiLzqdBK6RzycI2fqZqVP/+TJk3jqqadw880346uvvtLuRxP6+v2ysjKMHTsWSilkZGTgyJEjWv1IQp++V/0GeURX8AbAPxWR5k4Nt0Y8FDlTNyv9+PZXrlyJVq1a4ZVXXkFJSYl2X0fo6/WXLVsGpRQGDhyIY8eOafcjDX36XvRjdY5cBxG5MsznNBeRDk4no2vEw33kTN2s9OPTr6iowFtvvYUrr7wS8+fP1+7rDn19fmVlJbKzs3HixAlXfCehT99rfqyKXCDc47dE5K3atyRpiBEvFzuYuFnpx5+/dOlS3HXXXfjd734X8tyoaH3T18ePfnFxMSoqKlzzdYQ+fS/5sSpylo0i92+vFjm/PmvVtM1KP778ZcuW4T//8z/RrFkzWJal3Td9ffzonzp1Cu+99x4mTJiAyspK7b7O0KfvFd9LRS5TRAqcTkbXiIdz5GrGpM1KP378tWvXon379mjfvj2aNGli3PzpR+4XFRVh+PDhUErhvffeq76xsy7fjdCn7wXftSInIt1rDEtEFtX62NnxDxF5V0ROi0iu08noGvFW5ABzNit9//vHjx9Ht27dkJycjIkTJ8KyLKPmT9+Zf+2116Jfv35QSiEzM1NLiavpm74+9OnXFzeLnBU8N67mP+sbR0TkbqeT0TXiscgBZmxW+v71A4EAxo4di+bNm+OVV17ByZMntfrhQr/h/JMnT6Jv377VtxgpLi7W/jVMXh/69MPFzSL3SHB0Dha1iTU+VnM8JCIdReQipxPROUIVueSMZCRnJDtaYE8lzA2Bvb5Z6fvT//rrr3HPPfegY8eOyMur++pwr86fvvMUFhZi0KBB1bcYadGihVHzp0/fC36szpGbISJdnH6hWI54uWq1rnh5s9L3l19UVIQ33ngDSUlJyMzMRFVVlVbfSejH1q+qqsLkyZMxZswYlJWVGTd/+vS94DfIDYG9PEIVufyifOQX1f0sR2Ni8xFdXt2s9P3hW5aFmTNn4uqrr8YzzzyDw4cPa/WjDf3Y+pWVlSgvL3fNrx369P3ms8jZKHK+SQTPWvXiZqVvvr99+3Y89NBDuOWWW/DJJ59o93WFvnv+wYMHMWPGjHrvFefl+dOn7zU/ZkUu+FiufiLylYgcFZGiEKPQ6WR0DRa5H+K1zUrfXL+0tBRKKSQkJKB///5R3/C1tu9G6Ov38/Pzqy9sWLFihXY/ktCn7xc/VufINReRXcGLHnYE/5kvIvtrXLW6WUQ+dzoZXSNUkUvJTkFKdkrYxfR8IixygLc2K30z/csuuwxXXXUVnnjiCezdu1e7b/r6xIu/b98+9OnTB0opTJkyxdYNf700f/r0verHqsi9F7wFyaPB19U3CBaRtiKSKyJfisilTieja8T7xQ6h4pXNSt8sf//+/fjDH/6AFi1a4LLLLjNu/vT1+Xv27EHv3r2hlML06dNtXdgSiR9N6NM33Y9VkdspIotrvD7nSQ8icnnw3bmBTieja4Qqcll5WcjKywqz3AbEYZEDvLFZ6ZvhV1ZWYuDAgUhISMDbb7+NkpISo+ZPX6+/c+dO9OrVC0opzJw5E4FAQKuvI/Tpm+zHqsiViciAGq8rRaR3rc8ZIyK7nE5G1+A5cnWnoTcrfe/7n376KW677TY88MAD2Lp1q3a/vtD3pj9r1iwopTB79mxHJS6cryv06Zvqx6rIHRWRQbVej6v1OQNEpMTpZHQNFrn64+eDgb5z/+jRo+jatSuuuuoqTJs2rc6H3Ht1/vTd86uqqrB+/fo690S0vs7Qp2+iH6sit0FEZtR4nSMie0Tkx7U+Z7vTyegaoYpc9pZsZG/JjmC5PRoNRQ7w78FAP3I/EAhg1KhRaNasGf7f//t/KCws1Oo7Cf2G99u1a4dly5a55pu+PvTp6/RjVeQGBN+FuyD4umvwPLk1IpIqIsuDF0P0czoZXYMXO9iLHw8G+pH5BQUFuPvuu3HXXXfhyy+/1O5HE/oN53/zzTdIS0tD165dsXz5cu0+YPb60Kev249VkbtJRNJF5Krg60YiMqrGrUcsEckWkYsjmsCZ57RuFZHvReR/6/icJ4O3NvlWRCaHM0MVuc6TO6Pz5M7RrbwXorHIAf47GOhH5nfr1g1du3Z1fN5TQ8+fvn5/48aNSEtLg1IKY8aMMW7+9Omb6Dfokx1EpJWI3C8i1zn4vY2D96RrIyIXichGEbm51ue0Dd7WpGnwdbNwLs+Riyx+Ohjo2/dXrFiBq6++GgUFBa74ukI/dv6XX34JpRSUUsjJyYFlWUbNnz59U/1YvSP3hIjc6/QL1WHeVeuWJv8SkX/V+pz+IvJCJC6LXOTxy8FA355fUlKC66+/HnPnznXF1x367vt5eXnVJa72o9dMmD99+ib7sSpyVSIyzOkXqsPsIiKja7x+WkSG1/qcOcEy95mIrBWRh8K5LHLO4oeDgb49/80338STTz7pmu9G6Lvnb9u2rbrEffbZZ9p9O6FPP579WBW5AyIyxOkXqsO0U+Tmi8hsEblQRFqLyD4RaRLC6iYieSKS17Jly/MXyWcXO5i6Wek3vN+kSRM0adIEhw4dcsU3fX3i0a+qqsK0adOwdu1aV3y7oU8/Xv1YFbnxIvKF0y9Uh2nnR6sjROS5Gq+Xi0jH+tx4uGrV1M1Kv2H9yspKtG3bFpdccomR86ev16/5mC2794jz0vzp0/eLH6sid7WI5MuZZ65qeZ6qiFwgZx791brGxQ631Pqch0Tkw+C/JwbfkUuoz42HH62aulnpN6zfr18/PPjgg8jJyTFy/vT1+GcvYvjggw9QUVGh3Y829OnHmx+rIpctIuvlzL3iikTkcxGZF/x4zTE3ogmIPCwi24JXr74V/FgPEXk0+O+NRGSQnLn9yCYReSqcGQ9FDjBzs9JvOH/btm1ISEjAzp07XfFrh743fcuysGzZMiilkJaWhu3bt2v1dYU+/XjyY1XkLJsj4HQyuka8FDnAvM1Kv2F8y7LQqVMnDBo0yBW/rtD3lm9ZFhYtWlRd4jZt2qTV1x369OPFj1WRu9jucDoZXSPebghs0mal3zD+yJEjcccdd5xzTpROv77Q94afk5ODBQsWQCmFHj16YPPmzVp909eHPv2G9GNS5Ewa8XCxQ+2Yslnpx97Pz89HYmIivv76a1d8O6HfsH5OTg66dOkCpRTS09OxdetWrb7p60OffkP7LHI2ilz2lmxkb8mOdG29l3ruI2fCZqUfW9+yLDz++OP497//7YofSeg3nB8IBPDee+/h3//+N2bNmqXdB8xeH/r0G9pnkbNR5HyTMDcE9vpmpR9bf8aMGbjxxhtRVlbmih9p6DecX1VVhezsbGPnT5++n30WORa5c+LlzUo/dv7x48eRnJyMTz/91BXfaejHxq+qqsKKFStQXl7uil9X6NOnH7nPImejyGXlZSErLyuihfVkbD6iy6ublX7s/Oeeew4vv/yya340oe+uX1lZiSlTpkAphalTp2r3w4U+ffqR+SxyNoqc3y92CBUvblb6sfGXLl2Kli1boqioyBVfR+i741dWVmLSpElQSqFv377Iz8/X6tsNffr07fsscjaKXEp2ClKyU2wtqKcTQZEDvLdZ6bvvFxcXo02bNliwYIErvs7Q1+tXVFRg/PjxUEqhX79+OHjwoFY/0tCnT9+ezyJno8j5JhEWOcBbm5W++/4bb7yBP/3pT675ukNfj19eXo5x48ZBKYUBAwbg8OHDWn2noU+ffng/pkVORC4TkT+LSC8RGVrj45eLyM0icpHTyegaLHLnxyublb67fmZmJpo1a4YjR4644pu+Pn72P/nkEyilkJGRgaNHj2r3owl9+vTr92NW5ETkKREpCD5v9ZzHcYlI++DHn3E6GV0jVJHLL8pHflHoc0WMisMiB3hjs9J3z1+6dCkaN26M//u//3PFN319/O4HAgEsWLAAx44dc8WPNvTp06/bj9Ujuu4VkSoR+U5E/iQio2o/VzX4YPs5Tieja/Bih7rT0JuVvnt+//79ceeddyIhIcHI+dOP3C8pKbF9j0Anvu7Qp08/tB+rIrdIRA6JSNPg69QQRW6SiGx3OhldI1SRS85IRnJGss3l9nCiLHKAvw+GePUzMzNx2WWXYdasWUbOn37k/uLFi5GZmYmxY8eed684Hb7p60Ofvkl+rIrcCREZWeN1qCLXT0ROO52MrsFz5MLHrwdDPPrvv/8+WrVqhbVr16Kqqkq7Hyr0G9ZfvHgxXn31VSil8O6770Z1m5lQMX196NM3zY9VkSsVkYwar0MVufdF5JTTyegaLHL24seDId78kSNH4pprrsGOHTtc8esL/YbxCwsL8e6770IphVdffRWLFy/W6p+NqetDn76JfqyK3BYRWVbjdagi97mIfOF0MroGi5z9+O1giCd/zJgxuPrqq7F9+3ZXfDuhH1u/oKAAQ4cOhVIKmZmZWLx4sVHzp0+ffmg/VkUuI3hV6iMIUeSCV7RaIvK208noGkXf5ucAACAASURBVKGKXIesDuiQ1cHpensnmosc4K+DIV78Dz/8EC1atMCWLVtc8SMJ/dj4RUVFGDx4MJRSyMrKQklJiVa/rtCnT999P1ZFLlFE9otIhYiMEZF5Z283EnxdLiI7ROQyp5PRNXjVauTxy8EQD/6kSZOQnJyMzZs3u+I7CX33/UAggJkzZ2L06NEoLS3V7tcX+vTpu+vH8j5yPxWRvOA7b2fH2XvK5YlIa6cT0TlCFbm8/Dzk5ec5XmjPxKUiB/jjYPC7P3XqVFx55ZX45ptvXPGjCX33/UAgUOcVqibMnz59+qET80d0icjdIvKGiPQWkTdF5F6nE3BjxMM5cqZuVvrO/ZkzZ6J58+bYuHGjK76O0NfrHz58GFOnTrV9rzivzZ8+ffr2wmetxmGRM3Wz0nfmz5kzB82aNcMXX3zhiq8z9PX4Bw4cQL9+/aCUwtKlS7X7TkOfPn39fqzOkXtHRFo6/UKxHKGKXGpuKlJzUyNeXM+lxjtyJm5W+pH78+bNQ1JSEvLy9J0a4Kf18aO/f/9+9O3bF0opTJo0CZWVlVr9aEOfPn29fqyKnBV8RFdO8AKHi51+UbdHvFzsYOJmpR+Zf9lll6FJkyZYt26dK77p6+NHf+/evejTpw+UUpgyZUrEJS6cryv06dPX58eqyD0vIiuDFzcEROSUiIwTkfucfnG3Rjy8I3c2pm1W+vazZMkSNGnSBJdffrmR86cfub9792707t0bSilMnz69+kkdunzdoU+fvh4/pufIiUhrEVHBW42cvWp1t4j0EJHrnU5E54iHc+RqxqTNSt9eli9fjsTERKxatcrI+dN35mdnZ0MphVmzZiEQCGj33Qh9+vSj9xvsYgcR+a/gPeQKa5S6T6MxdYx4K3KAOZuVfvisWLECiYmJWLFihSt+qND3hp+Tk4O8vDxtJa62b/r60KfvV7/Br1oVkZ+IyD+CNwUO6DCjGfF6HzkTNiv9+rNq1SokJSVh+fLlrvj1hX7D+Lt27UJpaamx86dPn370fkO+I/cTEfmTiCwWkcrgu3LF0Zg6Rrxc7BAqXt+s9OvO6tWrkZSUhCVLlrji2wn92PqbN29Gjx49MHr0aFRUVBg3f/r06evxG+KGwL8SkdEiUlDjyQ6rReRFEbnc6WR0jXh/1qqXNyv90Dl16hQSEhKwcOFCV/xIQj82/jfffIO0tDQopbB48WJYlqXVryv06dP3nh+rq1Zbi0hq8CKHs+VtX/DpDj91OgE3RjyeI1c7Xt2s9ENn7ty5uPXWW13zIw19d/2NGzdWl7hly5ZVlzhdfrjQp0/fW34s7yMXEJFiEZkkIg+KSCOnX9jNwSJ3Jl7crPTPz9GjR9GiRYtzLm7Q6TsNfXf8L774AkopKKWwYsWK80pctL7d0KdP3zt+rIrcpyLygohc6vSLxWqwyP0Qr21W+ufGsix06dIF3bt3d8WPNvT1+rt27aoucStXrtTuRxr69Ol7w2/wq1a9NkIVueSMZCRnJIddTM8nwiIHeGuz0j83kyZNws0334zS0lJXfB2hr88PBAL46KOPsHr1ald8J6FPn37D+yxyNopcvFy1Wle8slnp/+Dv27cPSUlJ2LBhgyu+ztCPzq/5mK26fpQajR9t6NOn37C+K0VORIaJyFARSarx2s4Y6nQyukaoIpdflI/8onx7q+7lOCxygDc2K/0zvmVZePDBB5Genu6K70boO/M/+eQTjBo1CmVlZa74ukKfPv2G890qcmcvbvhpjdd2RsDpZHQNniNXdxp6s9I/4//tb3/DHXfc4fiB6OF809fHD75lWcjJyak+J27Lli1afTdCnz79hvHdKnK3BMcFtV6HHU4no2uwyNUfPx8MJvjjx49Ho0aN8OGHH7rim74+fvHHjBkDpRTS0tKwceNG7b7p60OfPv0fwnPkbBS5lOwUpGSn2Flnb0dDkQP8ezB43a+srMSdd96J1157zcj50w8fy7IwatSo6hL3zTffaP8aJq8Pffr0z/djdfuR7iLyizCfc6eIdHc6GV2DFzvYix8PBq/7PXv2xAMPPIBAIGDk/OnXH8uyMH/+/OoS17FjR6PmT58+/YbxY3lD4HfCfM5bXj1HLisvC1l5WZGutfeiscgB/jsYvOx/8cUXSEpKwt69e13xQ4V+bH3LsjBnzhykp6dj27Ztxs2fPn36DeN7qcilikil08noGjxHLrL46WDwql9aWopbbrkFEydOdMWvL/Rj6wcCARw8eNA1v3bo06dvvu+lIjdTRA47nYyuwSIXefxyMHjV//vf/44uXbrwcUw+9AOBAHJycuq9qbOX50+fPv2G910rciKSXWNYIrKl1sfOjgUisil4u5JpTieja4QqctlbspG9JTu61fZCXCpygD8OBi/6K1asQIsWLXD06FFXfLuhr9+vqqrCtGnToJTChAkTtPuRhD59+ub6bha5c+4PF+b+ccXBUpfsdDK6Rjxc7GDqZo03v7CwENdeey3mzZvnih9p6OvzKysrMWXKFCil0KdPH+zbt0+r7yT06dM303ezyF0cHJcEy1rPGh+rOX7idAJujFBFrvPkzug8uXMUy+yRBIucqZs13vznn38eL7zwgmu+k9CP3q+oqMDEiROhlELfvn2Rn2//qTFemD99+vS95cfqHLmXReTnTr9QLEc8nCNn6maNJz87OxutW7dGUVGRK340oe/cr6iowPjx46GUQv/+/c+5sEGHryP06dM3y+cNgeOwyAFmbtZ48Y8cOYLk5GSsXLnSFV9H6DvzV69eDaUUBgwYgMOHD2v3dYU+ffrm+G49oqtDcFxU63XY4XQyuka8FDnAvM0aD75lWXjiiSfwj3/8wxVfZ+hH7luWhcWLF4e9eMWprzP06dM3w3eryJ29wOGntV6HHU4no2vEw8UONWPSZo0Hf/z48bj11lvrvR1FNL7u0A/vX3XVVViyZIlrvunrQ58+/eh8t4pchogMEJGEWq/DDqeT0TXircgB5mxWv/vTpk1DYmIivvzyS1d809fHRL+4uBgZGRl46aWXsHTpUu0+YPb60KdPP3qf58jZKHK+ST33kTNhs/rZX758OS688EI8//zzrvimr4+J/unTp/H+++9DKYV+/fqhVatWRs2fPn36Zvgscixy1fH6ZvWzP3LkSNx4441ISEgwcv70z01RURGGDx8OpRSGDx+OoqIio+ZPnz59c/wGLXIicqeI9BKRt7xwM2DEeZEDvL1Z/eofOHAAiYmJ2Lhxo5Hzp39uCgsLMWzYMCil8N577+HUqVNa/fpCnz79+PNjdR+5DBEpF5EranzscRGprPF0h4NeKHPxcEPgcPHqZvWr/+STT+Jf//qXa37t0HfPLy4uxtChQ6GUQmZmJk6fPq3VtxP69OnHlx+rIve5iCyp9bFNIlIgIn8RERW8apUXO7iZCJ616sXN6kd/3rx5uO6661BSUuKKX1fou+NbloW5c+di5MiR5/2d6vDthj59+vHjx6rIHRaR4TVeXxt8F65XjY8tFJFvnU5G1whV5LK3ZCN7S7atBfV0IihygPc2q9/8oqIiXHPNNVi2bJkrfrjQd8e3LAtlZWWu+XZDnz79+PBjVeTKRKRnjdd/Cr4D98saH+srIkVOJ6NrxPs5crXjpc3qN/9vf/sbnnnmGdd8O6EfvX/kyBFMmjSp3nfgovGjCX369P3vx6rI7RaRCTVejxGRkrNPfgh+bKiIFDidjK7BInd+vLJZ/eSvW7cOzZs3x7Fjx1zxIwl95/6hQ4fQv39/KKWwcOFC7b6O0KdP399+rIrcTBEpFJFOIvILESkSkQW1PidbRDY7nYyuEarIZeVlISsvK9x6ez8Oixzgjc3qF7+iogLt2rXDxIkTXfGdhH7k/oEDB9CvXz8opTBhwgRUVFRo9XWGPn36/vVjVeR+HrxqtebjuP6rxq9fJCInRGSc08noGrzYoe409Gb1i9+3b1/85je/gWVZrvhOQ9++v3//fvTt2xdKKUyaNAmVlZVafTdCnz59f/oxu4+ciNwhIiOC495av3a3iCwVkYedTkbXCFXkUrJTkJKdYm+1vZwoixzg74MhFv7333+PhIQE7NixwxU/2tAP7996661IT0+HUgpTp05FVVWVVt/09aFPn35sfT7ZwUaR8000FDnAvweD275lWXjggQfQv39/V3xdoV9/Ro8eXX2zX50l7mxMXx/69OnH1m+QIicijUWkqYhc4NRwa7DI2YsfDwa3/fHjx+NnP/sZfwxnuG9ZFiZPnoykpCQj50+fPn1/+bH80WojEXlFRL4SkargeXJVIvJl8OONnE5E5whV5PKL8pFflO9owT0VjUUO8N/B4KZ/9OhRNG/eHJ9//rkrvhuh/0N27dqF4uJi1/xQoU+fPn07fqwudrhAROYHy5slIseCT3Y4FnwdCN4QuMHfoePFDpHFTweDm/6DDz6I119/3TXf9PXxsr9lyxakp6djxIgRKC8v1+7XF/r06dMP58eqyHUPFralInJbrV+7TUSWBMtcd6eT0TVCFbnkjGQkZyQ7XWvvxIUiB/jnYHDLHzBgAH70ox85vs9YuJi+Pl72v/32W/To0aP6PnGhrjT28vzp06fvfz9WRe4rEfmurnfcgu/YfSciXzmdjK7Bc+ScxQ8Hgxt+cXEx2rRpgz59+hg5/3j2v/76a6SlpUEphSVLltR7uxgvzp8+ffrx4ceqyBWLSP8wn9NfRIqdTkbXiIciZ+pmNdF/88038dRTT7nm1wx9ff5XX31VXeKWL19u655/Xpo/ffr048ePVZErFJFhYT5nGJ+16nKCRc7UzWqa/9VXXyEpKQmHDh1yxQ8V+tH7e/fuhVIKSimsWLFCux9N6NOnT792YlXkPhORAyLSpI5fv1xE8kXkM6eT0TVCFbkOWR3QIauDsxX2Umq8I2fiZjXJr6qqQseOHTF69GhX/PpCPzrfsizMmzcPq1atcsWPNvTp06dfM7Eqck8HL3bYIiJ/FJFmwY8nicgfROTb4MUOTzudjK4RL1etmrhZTfKHDBmCe++9t84fyXl9/vHo17y/X6SPT7Pj6wx9+vTpn00s7yM3rMatRgIiUlnj3y0RGe50IjpHqCKXl5+HvPw8x4vsmdS62MG0zWqKv2fPHiQkJGDLli2u+HZD377/6aefIjMz87x7xeny3Qh9+vTpAzEscme+ljwoIlOC78wdDP5ziog86HQSukc8nCNXMyZtVhN8y7LwyCOPID093RU/0tAP7z/00EPV58R9++232n3T14c+ffre9vms1TgvcoA5m9UEf9q0abj55pvPu3GsLt9J6IeOZVlYvnw5lFJITU3FlClTtPpnY+r60KdP3wyfRc5GkUvNTUVqbmqES+vB1HMfORM2q9f9EydOIDk5GZ999pkrfjShf24sy8KSJUuglEJaWhqmTp1q1Pzp06dP/2xi/aPV9iIyVERWisjG4D+Hikh7p5PQPeLlYodQ8fpm9bqfkpKCv/71r6750Yb+mViWhY8//hhKKfTo0aP6x6mmzJ8+ffr0ayaWFzv0EZGq4IUNtUeViPR2OhGdI17fkTsbL29WL/uffPIJrrrqKhQUFLji6wr9M0VuwYIF6NGjB7777jvtfn2hT58+fd1+rG4/0i1Y2PaJyMsicouIJAT/+YqI7A9evfqC08noGvF4jlzteHWzetUvKyvDDTfcgI8++sgVX3fonylzNW/UrNuvL/Tp06ev049VkftaRA6JSFIdv95cRA6LyNdOJ6NrsMidiRc3q1f9d955B48//rhrvhuJNz8QCCAnJwenT592xY809OnTp6/Lj1WRKxWRd8N8znARKXU6GV0jnu4jFy5e26xe9Js0aYLLLrsM+/btc8U3fX284FdVVWHmzJlQSmHMmDG2b/brlfnTp0+ffn2JVZE7ICL9wnxOfxHJdzoZXSOeL3YIFS9tVq/5gUAAt956Ky6++GIj5x8PflVVFaZNmwalFHr37o09e/Zo9aMNffr06Ufrx6rIjQw+hqtxHb9+gYhsFpEsp5PRNeLhWauRxiub1Wv+iBEj8Itf/ALLli0zcv5+9ysrKzF58mQopdCnTx/s379fq68r9OnTpx+NH6sid0XwPLmPReS2Wr/2/7N35/FR1Pf/wN9jbYuleEGg4b7vEIhBxAsVf0UFtILUC8W2RsrXWu+TKkO4lBvkCreIBwYFU0HOgAIiEAhyyX2HIwkENpA7+/r9kWSbY7OZnZ3Zndl9vR6PfZRsNs/9dPYzsy9nd2YiRWRF8e9v0jsYo278jpz7WGGyWslPSUlBrVq1sHv3blP88qHvnZ+Xl4dPP/0Uqqrio48+wpkzZwz1jQ59+vTp6/X9ebDDoVLXVr0kIgeK/7fkvkPFjyt9+0Xv4PTeWOQqT6Anq5X8p59+GoMHDzbNdxf62v2kpCSoqorRo0dXenSqL74ZoU+fPn09vr+KXLqIpOm56R2c3huLnOcE88qgNZcuXUKdOnUqnIPMKN9T6GvzExMTkZiYiNTUVFN8uy8f+vTpB4/PS3RpKHLhY8MRPjZcy3K2dgwockDwrgxakpeXh/vvvx8vvfRSpUc/Wnn8wexnZ2cjMzPTtuOnT58+fT0+i5yGIhfKR61WlmBcGaqK0+nE3//+d/Tu3RsFBQWG+96EftlkZWVh5syZmDp1Kq5cuWK78dOnT5++Xp9FTkORS3GkIMWR4s1ytmYMLHJA8K0MVWX48OG45ZZbeFJZi/lXr17FjBkzoKoqJk6ciIyMDEP9ykKfPn36VvBZ5DQUuaCJwUUOCK6VwVM+++wzNGrUyOujH60y/mD1r1y5gmnTpkFVVUyePBmXL1821K8q9OnTpx9on0WORc7nBMvKUJn/448/IiwszHWqEaN9XxOqvsPhwJQpU6CqKqZMmQKHw2GorzX06dOnH0ifRU5DkYtJiEFMQoy3y9d6ManIAcGxMrjz9+/fjzp16mD16tWm+EYl1Pzs7GxMnjwZqqpi2rRpyMzMNNT3NvTp06cfKJ9FTkORC7aDHew6Wf3tp6amolmzZpgzZ44pvtEJJd/pdOL777/HjBkzcPXqVcN9PaFPnz79QPgschqKXFxSHOKS4rxdttZLcZGz62T1p79ixQp07dq1wkl/jfLtvnys4DudTuTm5prm6wl9+vTp+9tnkdNQ5IImpfbI2XGy+stfu3Ytfve736F79+6VnivOl9h9+QTKT0tLw4IFC6r8GFWvb1To06dP35++X4uciDQXkf+IyGcisrTU/fVF5CERuV7vYIy6hUKRA+w5Wf3lv/XWW+jQoQNq1qxpy/EHo5+amooxY8ZAVVUkJCQY7hsd+vTp0/eX77ciJyJviUieiDiLb4Wlftei+Hqrg/QOxqibuyKXsD8BCft9f/MIeMod7GC3yeoPf8aMGWjZsiXS09NtOf5g9P/73/9i9OjRUFUVn3zyidcfp1bl23350KdPP7R9f11r9dHi8rZeRG4XkTGli1zxY5JEZIXewRh1C4WDHUrHTpPVbH/58uX405/+hEOHDpniuwt9z0lISMA777wDVVWxcOFC5OXlGerbffnQp0+fvr+K3I8iclREqhX/PMRNkftERI7pHYxRN3dFrtfnvdDr8176lrCVUsnpR+wyWc30d+7cibCwMGzatMkU31Pou8/p06fx4YcfQlVVPPvss1i7dq2hfknsunzo06dPH/BfkXOIyNRSP7srcqNEJEvvYIy6hcp35MrHDpPVLP/UqVNo0KABvvrqK1N8LaFfMYmJiVBVFYsWLcLatWttN3769OnT94fvryJ3VUQmlPrZXZGbJSKXvBqAyAMickBEDovIOx4e11dEICLRVZmhWuQA609WM3yHw4HIyEh89NFHpvjehH7ZOJ1O/PLLLygsLDTFLx/69OnTt6PvryK3S0Q2l/q5TJETEUVE9pZ+jAbzNyJyRESaisjvROQXEWnr5nE1ij/a/ZlFznORA6w9WY328/Pz8cADD2DgwIGaTzNipfEHo3/s2LFKL7VlhF9V6NOnT99uvr+K3AfFR6X+E+6L3KvFv3/FC7OriKws9fO7IvKum8dNFJGexQda6CpywXywg7tYdbIa6TudTgwcOBAPPPAA8vPzDfd9Saj6Bw8exLBhwzBlyhRkZWUZ7msNffr06dvJ91eRq168x61QRNYW7yErFBG1+OdCEdkuIr/zwnxMRGaX+vkZEZlS7jFRIvJ18b9Z5Ly41qoVJ6uR/rhx4xAZGelx748vvq8JNf/XX39FbGwsVFXFd999V+UeUquNnz59+vQD5fulyBU9j9QSkcXFpc1Z7va1iNzspeexyInINcXlrTGqKHIi8oIUnf4kqWHDht4uc/vEiyIHWG+yGuWvX78ederUwYkTJ0zxjUqo+Hv27HGVuO+//54fc9OnT5++F77fihz+V5rqFR988IKIPC4ijXQ6Hj9aFZEbRCRdRI4X33JE5ExVe+VC/Tty5WOlyWqEn5KSgvDwcKxcudIU3+gEu79r1y4MHToUqqpi1apVXl8SLdDjp0+fPv1A+34vckbdRORaKTo3XZNSBzu08/B43R+tBk10FDnAOpPVV3/16tW48847MWzYMFN8uy8ff/tnzpyBqqpQVRWJiYm6r2sbrMuHPn369LX4ti1yRWOXh0TkoBQdvTq4+L5YEXnYzWN1F7lgPyGwllhhsvrqV6tWDV26dHGdzsJo3+7Lx9++0+nEqlWrsH79elN8I0OfPn36VvX9dbDDZI23SXoHY9SNBztUnkBPVl/y1VdfITw8HDfffLMtxx9M/po1a1z36d0L58m3+/KhT58+fW98fxW58gc3lL+VHABRqHcwRt3cFbmE/QlI2J/gxSK3aHwscoA9V4Zff/0VtWrVwvbt2205/mDyP/30U7z88stYsWKFKb7dlw99+vTpe+v7q8i1q+R2h4i8IiLnROQLT99x89eN35GrOnZaGTIzM9GmTRvMnj3bFN9d6LvPhg0bXN+Ju/322203fvr06dO3om+J78hJ0dUZMkXkaaNMvTcWOW2xw8rgdDrxxBNP4O9//7spvqfQL5v169e7Shz3jNKnT5++cb4lilzROGShiOww0tRzc1fk4pLiEJcU592StmIMLHKA9VeGyZMno1OnTpVeJcDq4w8G3+l0Yu3atVBVFUOHDsXOnTsN9T2FPn369EPBt1KRGyMiWUaaem482MG7WHVl2LRpE2rXro0jR46Y4mtNKPslR6WWlLjdu3cb6msJffr06Qe7b4kiJyKKiGwRkfNGmXpv7opcTEIMYhJidCxmi8WEIgdYb2U4f/486tevj//+97+m+N4mVH2n04k1a9YgNjYW+/btM9zXGvr06dMPZt9fBztEVXK7tfgqD8uLj1ydq3cwRt34HTl9scrKkJ+fj3vvvReDBw82xdebUPWdTifOnz9vmq819OnTpx+svj9PP1Lo4eYUka0iUlPvYIy6hUKRs+tk1eK/++67uP/++1FQUGCK70tCwS8sLMSaNWtw+fJlU3xfQp8+ffrB6PuryI0t/g5c+dtHIvKOiNwnIoregRh5c1fkUhwpSHGk6F/KVklxkbPrZK3KX7p0KRo0aIDU1FRTfCMSzH5hYSG+/vprqKqKGTNm6DrZbzAvH/r06dM3w7fEd+SsdAuFgx3sOlk9+YcOHUJYWBh+/vlnU3wjE4x+QUEB4uPjoaoqRo4ciePHjxvqGxn69OnTDybfn5foGqT3ifx5c1fkwseGI3xsuPdL12op9R05O07WyvyrV6+iQ4cOmDp1qim+GQkmv6CgAF9++SVUVcWoUaNw8uRJQ30zQp8+ffrB4vuryOWKyId6n8ift1D4jlxJ7DZZ3fk1a9ZEjx498PTTTxt63c4S3+7Lx2y/Tp06mDx5MlRVxYcffojTp08b6tt9+dCnT5++2b6/itwhEZml94n8eQulIgfYa7K6y2uvvYbf/OY3WL58uSm+3ZeP2X7Jnrjhw4fjzJkzhvt2Xz706dOnb7bvryI3XEROikgNvU/mr1uoFTnAPpO1fLZt24awsDAsWLDAluMPBt/pdGL+/Plo1aqVLcdPnz59+nb3/VXkqonIGhH5WUTuEZHqep/U7Ju7IhcVF4WouChdC9hS8XAeOTtM1tJJT09Ho0aN8PXXX5vilw/9/yUnJ6fC6UXsNH769OnTDybfX0XOISJXyp1PLrP4/tK3y3oHY9QtFI5arSxWn6wlKSgoQI8ePfDGG2+Y4lcW+kB2djZmz56NSZMmsczRp0+fvgV8fxW5JBHZpuWmdzBG3dwVuaSUJCSlJHm9cC0XDVd2sPJkLYmqqrj77ruRn59viu8poexnZWUhLi4OqqpiwoQJuHjxoqG+ltCnT58+/bLheeQ0FLmgicZLdFl1sgLA999/j3r16uHs2bOm+FoSiv6VK1cwffp0qKqKSZMmISMjw1Dfm9CnT58+/f/FtCInIs+KSAe9eKBuLHJFseJkfeWVV1CzZk38+OOPpvjeJJT8zMxMTJ06Faqq4uOPP9Z0+S0rjZ8+ffr0g9k3s8g5ReQDvXigbu6K3JB1QzBk3RBNC9TS8aLIAdaarD/99BMaN26MPXv2mOLrSSj4ubm5mDJlClRVxZQpU+BwOAz1fQl9+vTp02eR01TkQuVgB3exymR99NFHMWXKFNN8vQkFPzExEdOmTcOVK1dM8X0Jffr06Ye6zyKnociF6h65kgR6su7fvx9hYWG4evWqKb6vCXbf6XQiNzfXNN/X0KdPn34o+yxyGopc0ERnkQMCO1ljYmIwZMgQ03wjEkz+hQsXMG/ePFy6dMkU34zQp0+ffqj6Zhe58SLS0Jub3sEYdWORqzyBmKxnz57FTTfdhNTUVFN8IxMMfvPmzTFy5EioqopvvvnGcN/uy4c+ffr0reabXeQKvbwV6B2MUbdQP49cVfH3ZH333Xfx4osvmuYbHTv758+fx4gR3EPoowAAIABJREFUI1znifPl49TKYuflQ58+ffpW9M0uchkicsybm97BGHXjwQ5Vx1+TddmyZahZsyaOHDliih9sK7MvOXv2LEaPHg1VVTFx4kT86U9/stX46dOnTz9UfX5HTkORC4VrrXobf0zW6tWr49577zXND7aVWW9SUlLw4YcfQlVVLFy4EPn5+bYaP3369OmHss8ip6HIBU0MLHKAuZM1NzcXYWFhuPHGG4NmZbOqv2nTJqiqii+++KLMZc/sMn769OnTD2WfRY5FzqeYNVk/+eQTdO/ePahWNiv7u3fvRkFBgWl+ZaFPnz59+r75LHIscj7H6MnqdDrRrl07rFy50hS/fELRP378uMfrpfrqexP69OnTp6/fZ5HTUOTCx4YjfGy490vYajGpyAHGTtZly5YhMjISTqfTFN9dQsk/fPgwhg8fjokTJ2q+WoOVxk+fPn369P8X04qcXW+hcNSq1Sdrt27d8Nlnn5nmV5ZQ8A8ePIhhw4ZBVVV8++23ZcqyEb4voU+fPn363odFTkORS3GkIMWR4u2ytV6Ki5yVJ+vPP/+MRo0aIS8vzxS/qgSz/+uvvyI2NhaqquK7777zqsRp8Y0Iffr06dP3LixyGopc0KTUHjmrTta+ffti0qRJpvlaEoz+nj17XCVuxYoVukqcJ9/I0KdPnz597WGRC8EiB1hzsh48eBC1atXS9L0tK47fqn5qaiqGDh0KVVWxevVqn0qcO9+M0KdPnz59bWGR01DkYhJiEJMQ4+2ytV7KHexgtck6cOBAvP/++6b53iaY/PXr1yMxMdGQEufONyP06dOnT7/qsMhpKHLBdrBD6Vhlsp47dw433ngjzp8/b4qvN3b2c3NzbT1++vTp06dfdVjkNBS5uKQ4xCXFebtsrZdKTj9ihck6ePBgDBo0yDTfl9jR37JlCyZOnIiMjAxbjp8+ffr06WsLi5yGIhc08XAeuUBO1szMTNSqVQuHDh0yxTcidvJ/+uknqKoKVVWRnJxsuO8u9OnTp08/MD6LHIucK4GarBMmTEC/fv1M842KHfwff/zRVeKSkpIM9z2FPn369On732eR01DkEvYnIGF/grfL1nrRcGUHf0/WvLw8NGjQAFu3bjXFNzpW9Z1OJ9atW+cqcTt27DDU1xr69OnTp+9fn0VOQ5EL5oMd3MWfk3XhwoW49957TfPNiBX9NWvWQFVVDB06FL/88ovhvjehT58+ffr+81nkNBS5Xp/3Qq/Pe2leqJaNF9da9ddkffTRRzFmzBjTfCutbGb6GzZsQGxsLPbs2WOK723o06dPn75/fBY5DUUuaOJFkQPMn6wrV66EoiiYN2+eKb7VVjaz/bS0NFN9b0OfPn369M33WeRY5DzGzMk6c+ZM3HbbbZZZGezkO51OrFmzBhcvXjTFNyr06dOnT99cn0WORa7KmDFZCwsL0apVK6xfv94yK4Nd/MLCQixZsgSqqmLKlCkoLCw01Dc69OnTp0/fPJ9FTkORC7WDHdzF6Mn67bffIjo62nXJKCusDHbwExMT8fXXX0NVVYwYMQJHjx411Lf78qFPnz79UPNZ5FjkNMfIyXrnnXdi0aJFpvnuYnd/7dq16N+/P1RVxciRI3H8+HFDfbsvH/r06dMPRZ9FTkORC5r4WOQAYybr5s2b0aRJE+Tn55vie4pd/fz8fHzxxRdQVRXvvvsuli5daqhfErsuH/r06dMPVZ9FjkXO6/g6Wfv27YvJkyeb5lcVO/r79u2Dqqr48MMP8e2339pu/PTp06dP3xyfRY5FTlf0TtZDhw6hVq1auHLliim+1tjR37x5M86cOWOaXzr06dOnT98ePouchiIXiicE1hI9k3XQoEEYPHiwab43sbqfm5vr8fQiVh8/ffr06dM332eR01DkeLBD5fFmsqampuKmm27CuXPnTPH1xKp+Tk4O5s6di/Hjx7PM0adPnz79Sn0WOQ1FLmF/AhL2J3i7jK0XE4ocoH2yqqqKmJgY03y9sZqfnZ2NWbNmQVVVjB8/Hunp6Yb63oY+ffr06VvXZ5HTUOSCJiYVOaDqyXr16lXUrl0bv/76qym+r7GKn5WVhbi4OKiqiokTJ2q+coNVxk+fPn369P3rs8iFYJELxGSdPn06Hn74YdN8IxJo/8qVK5g+fTpUVcWkSZNw6dIlQ31fQ58+ffr0reezyGkocnFJcYhLivN22VovxUXO35O1oKAAzZs3x4YNG0zxjUyg/Pz8fEybNg2qquLjjz/G5cuXDfWNCn369OnTt5bPIqehyAXbwQ7+nqzffPMNunTp4rocl9G+0QmUv2nTJkydOhWZmZmm+EaFPn369Olbx2eR01DkYhJiEJPg/Zf0LZdS35Hz52Tt2rUrFi9ebJpvRvzlJyYmlrk/Ly/PUN/uy4c+ffr06XsOi5yGIhc0KXewgz8m6w033IC6deuioKDAFN9OK1v5LF++HC+88AKWL19uim/35UOfPn369KsOi1wIFznA/Ml65513onr16rZYGfzpp6enY/z48VBVFf3797fd+OnTp0+fvjV8FjkNRS7FkYIUR4q3y9Z6qeT0I2ZN1gMHDiAsLAzff/+9LVYGf/mpqakYO3YsVFXF3LlzsXr1aluNnz59+vTpW8dnkdNQ5ILtYAd3MWOyvvDCC/jggw9M80vHLv758+cxZswYqKqK+fPnIzc311C/stCnT58+/eD0WeQ0FLnwseEIHxvu7bK1Xqo4IbCRk/X8+fO46aabkJqaaorvLlb3z549i48++giqqmLBggUVDmyw+vjp06dPn771fBY5DUUuaKLhyg5GTdb3338f//znP03zK4uV/a1bt0JVVXz22WfIz8833NcS+vTp06cfXD6LHItchfg6Wa9cuYKwsDAcPHjQFL+qWNnft29flUfwWnn89OnTp0/fWj6LHIuc2/gyWadMmYJHH33UNF9LrOKfOHGiyove++LrDX369OnTDw6fRU5DkYuKi0JUXJSmBWrpeFHkAH2TtaCgAE2bNsWmTZtM8b1JoP2jR49ixIgRGDduHBwOh+G+r6FPnz59+vb3WeQ0FLlQOGq1sng7WePj43H77beb5nubQPmHDh3C8OHDoaoqli5disLCQkN9o0KfPn369O3ts8hpKHJJKUlISknyuCBtER1FDtA+mZxOJ2699VYsWbLEFF9v/O0fOHAAw4YNg6qqSEhI8Pkas8G2fOjTp0+fvnE+i5yGIhc00VnkAG2T6YcffkCLFi10XY7LCiuDEX58fDxiY2OhqiqWLVvmc4kr79t9+dCnT58+fWN9FjkWOc2pajL17t0bM2bMMM33NWb7y5cvx/vvvw9VVbFixQrDSlxJ7L586NOnT5++8T6LnIYiN2TdEAxZN6SKxWyD+FjkgMon07Zt2/CnP/0JWVlZpvhGxWz/008/Re/evZGYmGiKb/flQ58+ffr0jfVZ5DQUuVA+2MFdyk+mvLw8REZGYuHChT7b7nyjY7Sfk5Njql8+9OnTp0+ffklY5DQUOe6Rq5jSk2nkyJF44IEHDP0o0S4r29atWzF27NgK54qzy/jp06dPn769fRY5DUUuaGJgkQOKJtNNN92E66+/HsePHzfMLe1beWXbvHkzVFWFqqrYtm2b4X5VoU+fPn369FnkWOR0p7CwEJGRkahevXpQrAzeZOPGja4St2XLFsN9raFPnz59+qHts8hpKHKhfh65yjJz5kzceuutWLNmTVCsDFr9H374wVXikpKqnhdWGz99+vTp0w8en0VOQ5HjwQ4Vk5KSgrCwMOzatQtAcKwMWvx169a5StyOHTsM9/WGPn369OmHps8ip6HIBdu1Vo2YTH369MH7779f5j67rwxa/C1btmDo0KH45ZdfTPF9CX369OnTDz2fRU5DkQuaFBc5XyfT119/jdatW1c47QZg75VBq3/hwgVTfV9Cnz59+vRDy2eRC8Ei58tkysjIQN26dbFhw4ZKH2PXlcGd73Q6sWbNGqSmpprimxH69OnTpx86PotcCBY5QP9kiomJwaBBg6p8nB1XBnf+jBkzoKoqJk6cqOsaslX5dl8+9OnTp08/sD6LnIYiFz42HOFjw71dttZLuYMdvJ1M69atQ/369XHp0iXNj7fTylA6hYWFmD59OlRVRWxsLA4fPmz4c9h5+dCnT58+fWv4LHIailwwH7WqdTJlZWWhRYsW+Pbbb716SjutDCUpLCzE4sWLXSUuMjLSVuOnT58+ffqh47PIaShyKY4UpDhSvF221kslpx/RMpneffdd9OvXT9fT2mVlAICCggJ89dVXUFUVI0eOxIkTJ2w1fvr06dOnH1o+i5yGIhc08XAeOU+TaefOnQgLC8PZs2d1P7UdVgYAOHToEFRVxahRo3Dq1CnD/cpCnz59+vTp6wmLHIucK+4mU35+PqKjozFnzhyfn97qK0NJkpKSkJJScQ+sXcZPnz59+vRDx2eR01DkYhJiEJMQ4+2ytV40XNmh/GQaO3Ys7rvvPjidTkOGYMWVIS8vD+np6ab53oQ+ffr06dP3JixyGopcMB/s4C4lk+nDDz9E7dq1DT9i00orQ25uLubPn48xY8YgLS3NcF9P6NOnT58+fa1hkdNQ5OKS4hCXFKd5oVo2XlxrdcKECVAUBVOmTDFlKFZYGXJycjBnzhyoqopx48ZpLnJafV9Cnz59+vTpawmLnIYiFzTRWOS2bt2KsLAwjB071lKT1Ug/KysLs2bNgqqqGD9+vK7LblltZaZPnz59+qHns8ixyJXJ7t27UadOHSQkJACw1mQ1yr969WqZKzZkZGQY6hsZ+vTp06dP31NY5DQUuYT9CUjYn+BxQdoiVRS5Q4cOoW7duvj888/L3G+VyWqEX1BQ4Lpiw+TJkzVfpUKrb0bo06dPnz79ysIip6HIhcLBDidPnkTjxo0xc+ZMt7+3wmQ1yt+2bRumTJkCh8Nhim9G6NOnT58+fXdhkdNQ5Hp93gu9Pu/laTnbI5UUufPnz6NVq1YYN26cxz8P9GT1JU6ns4yfn59v+HPYefnQp0+fPn17+ixyGopc0MRNkbt48SIiIyMxZMgQTYQdV4aMjAzMmjUL58+ft+X46dOnT58+/cp8FrkQLnKZmZm47bbb8Oqrr3p1wl87rQwXL17EhAkToKoqPvvsM8N9d6FPnz59+vT95bPIhWiRy87Oxn333Yfnn39e11Ub7LAypKenY9y4cVBVFbNnz0Z2drahvqfQp0+fPn36/vBZ5DQUuWA72CEvLw+9e/fG448/joKCAt2clVeG1NRUjB07FqqqYu7cucjJyTHU1xL69OnTp0/fbN/WRU5EHhCRAyJyWETecfP710Rkn4jsEpG1ItKoKjMUityTTz6JXr16IS8vz2fSiivDuXPnMHr0aKiqivnz5yM3N9dQ35vQp0+fPn36Zvq2LXIi8hsROSIiTUXkdyLyi4i0LfeYe0XkD8X/HiQii6pyQ+Gj1XvvvRdZWVmGsVZbGXbu3AlVVfHpp59qKqtWGz99+vTp06ev1bdzkesqIitL/fyuiLzr4fGdRGRTVW6wFjmn0+kqckaeP60kVlsZDhw44NUpRqw2fvr06dOnT19L7FzkHhOR2aV+fkZEpnh4/BQR+U9VbrAWOVVVXUXOrpPVk3/y5EmcPXvWNN+I0KdPnz59+kYnJIqciPQXkZ9F5PeV/P4FEUkSkaSGDRtWWEh2PyHwuHHj0KJFC1eRs+tkrcw/fvw4RowYgdGjR/t03dTKfCNDnz59+vTpGxk7FzlNH62KyP0i8quI1NbiBtvBDjNnzkSjRo1w4sSJMnvk7DhZ3flHjhzB8OHDoaoqvvnmGxQWFhrqmxH69OnTp0/fqNi5yF0rIkdFpEmpgx3alXtMp+IDIlpodd0VuYT9CUjYn6B7IQcqX3zxBerWrYuDBw8W3VHqPHJ2nKzl/aioKMTGxkJVVSxdutSQElfat/vyoU+fPn36we/btsgVjV0eEpGDxWVtcPF9sSLycPG/14jIeRHZWXxLqMoMlu/ILVu2DLVr18auXbv+d2e5KzvYbbKWzv79+zF06FCoqoq4uDhdJzWuKnZePvTp06dPPzR8Wxc5M27BUOS2bNmCBg0aYOHChWV/4eZaq3aarCW5fPkyhg0bBlVVMWvWLNuNnz59+vTp0zfKZ5HTUOTikuIQlxTn7bINSHJzc9GyZUvExsbi8uXLZX/ppsgB9pmspbN9+3asWrUKTqfTluOnT58+ffr0jfBZ5DQUOTsd7DB69Gg8+OCD7j9qrKTIAfaYrKWvlWqG7yn06dOnT5++FX0WOQ1FLiYhBjEJMd4uW78nJSUFNWvWxIEDB9w/wEORA6w9Wbdv347Ro0fj3LlzpvhaQp8+ffr06VvNZ5HTUOTskv79++Ptt9+u/AFVFDnAmpN169atUFUVqqri559/Ntz3JvTp06dPn76VfBa5IClyGzduRL169ZCZmVn5gzQUOcBak3Xz5s2uEvfTTz8Z7usJffr06dOnbxWfRU5DkUtxpCDFkaJ5ofo7BQUF6NixIz777DPPD9RY5ABrTNaNGze6StzWrVsN930Jffr06dOnbwWfRU5DkbP6wQ7Tp0/HXXfdVfW51LwockBgJ+sPP/zgKnHbt2833Dci9OnTp0+ffqB9FjkNRS58bDjCx4ZXuTADkfT0dISFhWHnzp1VP9jLIgcEbrImJycjNjYWycnJpvhGhT59+vTp0w+kzyKnochZOYMGDcL//d//aXuwjiIHBG6yXrx40VTfqNCnT58+ffqB8lnkbFzkkpOTUbt2bVy4cEHbH+gscoD5kzUxMRE9e/ZEQoI517S1wspGnz59+vTpG+2zyNm0yDmdTtx5552YMWOG9j/yocgB5k1Wp9OJ7777Dqqq4o033sCaNWsM9UsS6JWNPn369OnTN9pnkdNQ5KLiohAVF1XVcvZrPvvsM0RFRaGgoED7H/lY5ADjJ2thYSG+/fZbqKqKYcOGYfHixUG7stGnT58+ffpG+yxyGoqc1Y5azczMRL169bBp0ybv/tCAIgcYN1kLCwvxzTffQFVVDB8+HEeOHDHUryz06dOnT59+sPgschqKXFJKEpJSkrQuZ9Pz9ttv45lnnvH+Dw0qcoDvk7WgoACLFy+GqqoYMWIEjh07ZqhfVejTp0+fPv1g8FnkNBQ5K+XAgQOoWbMmzpw54/0fG1jkAN8m67Fjx6CqKkaOHIkTJ04Y7msJffr06dOnb3efRc5GRc7pdOLBBx/EmDFj9AEGFznAt8m6c+dOnD592jRfS+jTp0+fPn07+yxyGorckHVDMGTdEC8XsfFJSEhAq1atkJubqw8wocgB2idrXl4ezp8/b5qvN/Tp06dPn75dfRY5DUXOCgc75ObmomnTpli5cqV+xKQiB1Q9WXNzc/HJJ5/gww8/1PWxcDCsbPTp06dPn77RYZHTUOSssEcuOTkZjRo18g0pLnL+nqw5OTmYO3cuVFXFmDFjkJqaaqhvVOjTp0+fPn27+SxyGopcoJOXl4fbbrsNo0eP9g0qLnL+nKzZ2dmYPXs2VFXFuHHjkJaWZqhvdOjTp0+fPn07+SxyNihy77zzDh588EEUFhb6BpXaI+ePybpq1SrMnDkTqqpiwoQJ2i8lptG328pGnz59+vTpG+2zyGkocoE8j9zKlStRr1493R9Hlkmp78iZPVkTExMxaNAgqKqKiRMnIiMjw1Dfjisbffr06dOnb7TPIqehyAXqYIezZ88iPDwciYmJxoDlDnYwe7J++eWXePnll7FixQpTfLutbPTp06dPn77RPouchiIXiGutFhYWonv37nj//feNQ90ctWr0ZHU6nWV+Xrt2rW1WBvr06dOnT99uPouchiIXiIwYMQJ33XUX8vPzjUMrOf2IUZPp8uXLmDlzJlJSUkzxKwt9+vTp06cfqj6LnAWL3MaNG1GnTh2cOnXKWNjDeeR8nUwZGRmYOHEiVFXFJ598YrhfVejTp0+fPv1Q9FnkLFbkLly4gIYNG+K///2v8XgVJwTWO5kuXLiACRMmQFVVzJw5E1lZWYb6WkOfPn369OmHms8ip6HIhY8NR/jYcG+Xra7069cPr7zyijm4his7eDuZ0tLSMG7cOKiqitmzZyM7O9tQ39vQp0+fPn36oeSzyGkocv46avXrr79Gq1atKt2j5XM0XqJL62RKTU3FmDFjoKoq5s2bh5ycHE3DsOrKQJ8+ffr06dvNZ5HTUORSHClIcaRUuN/IXLhwAeHh4di4caN5T+LFtVa1TKa9e/di6NCh+OSTT5Cbm+vVUKy4MtCnT58+ffp281nkNBQ5f+TZZ5/Fv//9b3OfxIsiB2ibTIcPH0ZeXp6u4VhtZaBPnz59+vTt5rPIWaDILVu2DE2aNMGVK1fMfSIvixxQcTKdOnXK0KNprbQy0KdPnz59+nbzWeQ0FLmYhBjEJMR4XJB6c+nSJTRo0ABr1qwxxS8THUUO+N9kWrp0KUaOHIlRo0YhLS3NsGFZZWWgT58+ffr07eazyGkocmYe7PDCCy/ghRdeMMWuEJ1FDgCWLFmC9957D6qqYvHixSgsLDR0aFZYGejTp0+fPn27+SxyGopcXFIc4pLiPC1nXVm7di0aNGiAS5cuGW67jc4id+TIEQwfPhyqquKJJ54w7tqv5RLolYE+ffr06dO3m88ip6HImZErV66gSZMmWLZsmV+eD4CuInfw4EEMGzYMqqri22+/RWJiYtCuDPTp06dPn77dfF+KnFL098GV6OhoJCUlmf48r7zyily8eFEWLFhg+nO5oihF/6vxdbt69apMmjRJ8vPzJTo6Wh566CFRFEXWr18v/fr1k/j4eLnnnnsMHyZ9+vTp28HPz8+X06dPS05OjmY/JydH0tLSJCwsTKpVq+bjaOmHkl+tWjU5efKkPPbYY2Xmp6Io2wFE60L1NkAr39ztkUvYn4CE/QlV12WN2bhxI8LDw3HhwgXDTE3RsUdu9+7dWLFiBZxOZ5n7g/W/bOjTp09fq3/06FGkpaVV2D5WFYfDgeTkZDgcDh9GST+UfKfTibS0NBw9erTC/BR+tFp1kTPyYIfs7Gy0atUKX3/9tSGeV9FY5LReWcIqG1P69OnTD4S/b98+r0tcSexYJugH1nc6ndi3bx+AsvOTRU5Dkev1eS/0+ryXVwu8srzzzjvo16+fIZbX0VDkkpOT8eGHH+L06dOaSCtsTOnTp08/EH7Jm6re2LFM0A+sX3rOlcxPFjkNRc6obNu2DbVr18a5c+dMew6PqaLIJSUlQVVVqKrq1aXCAr0xpU+fPv1A+L4WOcD3N/trrrkGkZGRaNeuHXr16oWMjAzX7/bs2YO7774bjRo1QtOmTREbG1tmD+Ly5ctxyy23oE2bNujYsSNee+01v4+/qmzYsAGPPPJIGf+RRx5Bly5dyjxuwIABiI+PL3Nf9erVXf8+cOAAHnzwQTRv3hydOnVCv379cO7cOZ/Gf+HCBdx///1o3rw57r//fly8eLHCYxwOB5YvX457770XrVu3Rps2bXDs2LEyj3nppZfKjPXjjz/GnDlz3D5n+TnHPXJ+LHK5ubmIiIjAwoULTfE1xUOR27Jli64SV5Jg3ljTp0+fvjvfiCIH+FaGSheAZ599FsOHDwdQ9BWZpk2bYuXKlXA4HPjpp59w//33Y8qUKQCKvv/ctGlT/PrrrwCAgoICTJs2zdDx5+fn6/JK57HHHsOmTZtcfkZGBurXr4/WrVvjyJEjrsd5KnLZ2dlo3rw5EhL+9133devWYffu3R7HX1XefPNNjBo1CgAwatQovPXWW24fd+edd2L69OlwOBzIzMzE1atXXb/btm0b+vfvX+Z1vHr1Kjp27OjWcjfnWOT8VOTGjBmDnj176v4+hSEpLnLlN0Y//fSTq8Rt3rxZNx+sG2v69OnTd+cbVeQA/WWidAGYPn06Bg0aBACYPXs2nnnmmTJ+QkIC6tWrBwB45plnKt3rUzqZmZl47rnn0L59e0RERGDx4sUVnjc+Ph5PPfUUkpOT8dRTT2HgwIG49dZb8eqrr6JRo0Zl9hI2b94c586dQ2pqKvr06YPo6GhER0e73YHgcDjQsmVL17+Tk5MxdepUDBo0CKqqYsSIEa7Heipyc+bMKbMs3EXP8m/ZsiXOnDkDADhz5oxrrKWzd+9e3HHHHW79goIC3HPPPThz5kyZ5QkAf/nLX7Bly5YKHoucziJnxMEO9913H5YvX+6T4XOKi1zpjdHGjRtdJW7r1q0+P0Uwbqzp06dP351vZJED9JWJkgJQUFCAxx57DN9//z0A4NVXX8XEiRMr+DVq1MDp06fRqVMn7Ny5s0r/rbfewssvv+z6ueTjw/JFbsCAAXA4HOjduzd69OiBgoICAMC///1vzJ07FwDw888/o3v37gCAJ598Ehs2bAAAnDhxAq1bt67w3ImJiejTp0+Z8Xfp0gUrVqzAgQMH0L59e9fvPBU5d8vCXVJSUtCyZUtEREQgMjKyzG3v3r0VHn/DDTe4/u10Osv8XJIlS5agZ8+eePTRR9GhQwc8++yzrmI7ceJEjB8/vsxYSzJ8+HCMHTu2gsciF6AiV1BQgBo1aiA9PV23YUhK7ZEr2Rjt3bsXsbGx2L59u2FPE2wba/r06dN355d/UxURw29VpeQ7crVq1cJdd93lKlCVlZcbb7wRGzZsQGRkpKYiFxUVhYMHD1a4312RA4CnnnoKQ4cOdZXRTZs2oUePHgCAV155BTNnzgQAhIWFlSlKdevWRWZmZpnn+OyzzzBw4EDXz+fOnUPDhg2xY8cOOBwOdOrUyfXx6HPPPVehyP3xj3/0uCzcxZsyXb643XjjjRUeEx8fj+uvvx5HjhxBfn4+Hn74YXzwwQc4cOAA7rjjDtfHz+WL3MyZM91+Z5FFTmeR8zW7du1yu8vV7yn1HbnSG6PSu72NSjBtrOnBKXEZAAAgAElEQVTTp0/fnb9jxw5TfG/KREkBuHr1Ku68805MmjQJADBr1qwKHyceOXIE9evXh8PhQM+ePTF16tQq/cqKXElJAoBPP/3UVeQGDBiABQsWuMbvdDrRrFkzpKamonHjxq4dGjVr1kR2drbH5/7mm29cLgBMnjwZ119/PRo2bIjw8HDceOONeO+99wAAr7/+uqskAkUHIjRu3BhAxY+ZK4vD4UBkZCQiIiIq7Jlzt0dOy0ermzdvxt133+36ecGCBXj++ecxefJk1K5dG40aNUKjRo2gKAqaNWtW5v/r4MGDK3gscgEqcjNnzsSzzz5ruOt1iotcYmIiTp48GTQbU/r06dMPhF9yIIEZ0VrmSu/J2bFjBxo2bIj8/HxkZWWhSZMmWL16NYCigx969uyJyZMnAyj6bnSDBg1cn8YUFhZi+vTpFfy3337b7UerzZo1w759+1BYWIg+ffqUKXLx8fFlxv/GG2+gf//+ePDBB13Ok08+idGjR7t+Tk5OrvDcv/76K+644w7Xz127dsVPP/3kWj7fffedq6z997//Rffu3ZGbmwsAGDduHP72t7+5/r83a9YM3333ncv64YcfXHvz3EXL8n/jjTfKHOzw5ptvVnhMQUEBOnTogNTUVABFew6nTJlSwS+/R+5f//oXvvjiiwoei1yAitzf//533UcDGZriIqeqKj766CPk5OQExcaUPn369APh79ixI+DnIStfAHr16oUFCxYAKPo0qFu3bmjZsiWaNWsGVVXLHHC3aNEitGnTBi1btkSbNm3cFpHMzEw8++yzaNeuHTp06OA6mX18fDyaNm2KLl264MUXX6xQ5EqPf/369RARzJ8/3+WmpaXhr3/9KyIiItCmTZsyH6GWTvv27eFwOHDs2DHUrVu3zPgdDgdat26NtWvXAgBUVUX79u0RGRmJPn36uMoTUFQKe/TogebNm6NNmzZ4/PHHqzwVWFXLPz09Hffddx+aN2+O7t27u67WtG3bNvzjH/9wPW7VqlWIiIhA+/btMWDAAFfZLO2Xfx07derk9utYLHI6i5yvJwRu27atabvgtcbpdLqK3LBhw7B//37X7+y+MaVPnz79QPj79u2z5Ull7eSPHz8es2bNMs2vKoHwd+zYgf79+7t9PIucziLny8EOly5dQvXq1Q05n47eFBYWYunSpa4id+jQoQqPsfPGlD59+vQD4Ze8qQZjmbCKn52d7drDaIavJf72V61aVeGkwSVhkdNZ5BL2JyBhf0KF+7Vk9erVuOuuu3T9rREpLCzEN998A1VVUfpgB3ex68aUPn369APhl35TDbYyQd+aPoucziLnS4YNG+b2ewf+yqlTpxAbG1t04kQN11q148aUPn369APhl39TtcqbPf3g9VnkAlDkevbs6fpyaKCyd+9enDx5UlORA+y3MaVPnz79QPju3lSt8GZPP3h9FjmdRS4uKQ5xSXFuF6qnOJ1O1KxZEykpKV7/rS/Jz8/H2bNnK/5CY5ED7LUxpU+fPv1A+JVd2SHQb/b0g9dnkdNZ5PQe7HDo0CE0aNDA67/zJXl5efj0008xcuTIor1wpeNFkQPsszGlT58+/UD4ni7RFcxlgn7gfBY5nUUuJiEGMQkx7pe2h8yZMwePPfaY13+nN7m5uZg/fz5UVcXo0aMrniPHyyIH2GNjSp8+ffqB8Ku61qo/3uxXr16NPn36oGnTpoiKisKDDz6IuLg49OzZ0xA/GMuQnX0WOZ1FTk9ycnLQvHlzrFixwhBPy/PNnTsXqqpi7NixZU6E6IqOIgdYf2NKnz59+oHwqypygLlv9k6nE507d8Z7773n8nfu3InY2FhDihwQnGXIzj6LnB+L3JgxYwxbkapKdnY2Zs+eDVVVMW7cOLdngwagu8gB1t6Y0qdPn34gfC1FDjDvzX7t2rW46667Kvjr1q1Dt27d0LdvX7Rq1QpPPfWU64oIQ4cORXR0NNq1a4eYmBjX/d26dcNbb72Fzp07o0WLFvjxxx8BFF1i6qWXXkKzZs3Qrl071yW+kpKScPfddyMqKgp//vOfXdcc1ZNgK1tm+ixyOotciiMFKQ7tByycP38eNWvWLHP1BLPidDoxZ84cqKqKCRMmuK6D5zY+FDnAuhtT+vTp0w+EX/5NVVXVSm8bN250vRknJSV5fKzWTJo0Ca+88gqAsm/269atw/XXX49Tp06hsLAQt912GzZs2AAArstIAUD//v2RkFB0jtRu3brhtddeAwAsW7YM3bt3BwBMmzYNffv2xcWLF5GcnIzjx48jLy8PXbt2dX3y8+WXX7qua6o3wVS2zPTdXSXKlyJ3jYRI6o2vJ/XG19P8+P/85z/y7LPPSqtWrUwcVVEURZGuXbtKzZo15bnnnpObbrrJtOe65557JD4+Xvr16yfr16+nT58+ffoaU61aNWnWrJkcOXJEcnJyDPdr1Kjh8rOysuTWW2+V+vXryzXXXCMdO3aU48ePi4jIunXrpEuXLhIRESGJiYmyd+9el9GnTx8REbnllltcj1+zZo0MHDhQbrrpJmnWrJlkZGTIjh07ZM+ePfL//t//k44dO8rw4cPl9OnTho0/MzPTJyuY/bS0NGPnp94GaOWbuz1y4WPDET42vMrGDADJycmoU6cOMjIyND1eb0pfOBgo2v1dZXzcI1cSK/6XMX369On729f60WrpGLnnZs2aNRWuHORwODBr1iz06NHDdd+LL76IefPmITs7G7Vr13ad0WDIkCEYMmQIgKI9ctu2bQNQdEH7Ro0aAQD69OmDVatWlfG/+uordO7c2efxu0uw7Dkzy9+xY0eF+Sn8aLXqIqc1TqcT3bp1w/Tp03UbWuJwOBAXF4fjx49794cGFTnAWhtT+vTp0w+Er6fIAca92TudTtx6662Ii/vfeU5/+eUXDB482PXdOeB/RS4jIwO1a9dGVlYWMjMz0a5duyqL3PTp09G3b1/X9cIvXLiA9PR0NGjQAKtXrwZQdNqrPXv2+PT/pXTsXrbM9Pft21dhfrLIGVjkvv76a0RERLgmvBm5dOkSJk+eDFVVMXfu3Ap75jzGwCIHWGdjSp8+ffqB8PUWOcC4N/uUlBT069cPTZs2Rdu2bfHQQw9h5syZ6NGjh8svKXIAMHjwYDRt2hS33347nnvuuSqLXH5+Pl599VW0adMGHTp0wMcffwwA2LhxIzp16oT27dujbdu2mDlzpk//P8rHzmXLTL9kzpWenyxyBhW57OxsNGnSBGvXrtX191qSkZGBiRMnQlVVxMXF4erVq94BBhc5wBobU/r06dMPhO9LkQPsWyboB84vPedK5ieLnIYiFxUXhai4KI8Ld9q0aejdu7fHx/iSCxcuYPz48VBVFbNmzUJ2drb3iAlFDgj8xpQ+ffr0A+H7WuQAe5YJ+oHzy8857pHTWOS0XKLr/vvvx5IlSzw+Rm/S0tIwbtw4qKqKOXPmICcnRx9kUpEDgntjTZ8+ffrufCOKHGC/MkE/cD7PI6ezyCWlJCEpJanSBXvp0iXUqFEDV65cqfQxvuTgwYOIjY3F/PnzkZubqx8qLnLBtjGlT58+/UD4RhU5wF5lgn7gfBY5nUWuqixatAgPPfSQ13/nTY4dO4a8vDzfkOIiF2wbU/r06dMPhG9kkQPsUyboB85nkTOpyD399NOGn3IkJSUFx44dM9QsvUcumDam9OnTpx8I3+giB9ijTNAPnM8ip7PIDVk3BEPWDXG7UPPz83HzzTfj1KlTbn+vJ6dOncKoUaMwYsQInDt3zjC39HfkgmljSp8+ffqB8N1dLsmIWL1M0A+czyKns8h5Othh/fr16NSpk9vf6cnx48cxcuRIqKqKRYsWabtig9aUO9ghWDam9OnTpx8If+XKlQF/s7/mmmsQGRmJdu3a4bHHHtN8WqoSf8WKFWjbti0iIyORlZXl1RiXLFmCvXv3+jR+LZk3bx5efPFFj767x/gSq5Y5FjmdRc7THrnXX3/ddUJFX3P06FGMGDECqqpi8eLFKCwsNMR1xc1Rq8GwMaVPnz79QPg7duwI+Jt99erVXf9+6qmnMG7cOM1+RkYG+vbtq/tkvgMGDEB8fHylvzeqDFVW0kr7Rhe58r4Z0eOzyOkscp7SsmVLJCVVfkSr1hw+fBjDhw+HqqpYsmSJ8SUOcFvkAPtvTOnTp08/EP6+ffsC/mZfushNnz4dgwYNAgB8+umn6Ny5MyIjI/HCCy+4Pt2pXr06XnvtNXTo0AHDhg3DjTfeiLp166Jfv34AgNGjRyM6OhoRERH44IMPXPYnn3yCiIgIdOjQAf3798emTZtw0003oXHjxoiMjMThw4fLjGvAgAH45z//iejoaNSrVw/Lli3D3/72N7Ru3RoDBgxwPe7zzz9H+/bt0a5dO7z11luu++fOnYsWLVqgc+fOeP75510lLTU1FX369EF0dDSio6OxatUqJCcnY/r06YYXOcB6ZY5FzuAid+DAAdStW9e7y2S5SVZWFkaNGgVVVfHtt9/67FUaD+eRs/PGlD59+vQD4Ze8qZa8Gbv7Gk6vz3tBVEHC/gTXfXFJcRBVEJMQ47ovxZECUQXhY8MrPI+nN/uSIpefn4+HH34Y06ZNw759+9CrVy/XmQ4GDRqETz75BAAgIli0aJHr7wcMGIAFCxYgOTkZS5YsQUxMDJxOJwoLC9GzZ0/88MMP2LNnD1q0aIG0tDQARSeoL/nbyvbIDRgwAI8//jicTie++OILVK9eHZs3b0ZhYSGioqKQnJyMlJQUNGjQAKmpqcjPz8e9996LJUuW4MyZM677c3Nzcfvtt7tK2pNPPokNGzYAAE6cOIHWrVvD4XBg6NChiImJcTsWX2OlMmd0kbtGQiTbz2yX7We2V7x/+3bp0KGDKIrik3/dddfJo48+Kl26dJHevXv77OnJPffcI/Hx8dKvXz9Zv349ffr06dPXmBo1akizZs0Md8v7R44ckczMzDK/y87Olo4dO0p0dLQ0bNhQ/vGPf8jatWtl+/bt0rlzZ+nYsaOsXbtWjh49KiIiv/nNb6Rv375ljOuuu06aNWsm33zzjaxcuVI6deokUVFRsn//fjl06JAkJiZKv379pFatWiIicvPNN2sad8n72a233ip16tSRatWqydWrV6Vdu3Zy/Phx2bZtm9xzzz0SFhYm1157rTz99NPy448/ypYtW1z3/+53v5PHH3/cZa5Zs0b+9a9/SceOHeXhhx8Wh8MhiqJI7dq1xeFwVFg+RsTT8reD7zF6G6CVb1oPdkhLS0P9+vXx/fffu6/NGuL1tVJ9jYYrO9j1v4zp06dP399++b0jgdhzU/qj1ZJMnjwZ77zzjluj/ONL71X717/+hcGDB1cY/+TJk/Hee+9VsKraI1fyu2PHjqFdu3au8T/11FOIj4/H0qVL8cwzz7j+Zvbs2Xj11VexZMmSMvdPmjTJtUeuZs2abi9ROW/ePMTExFhmz5lZPj9a1Vnkyl9r1el0omfPnnjzzTcrXdhVZdeuXRg5cqTx54rzFI2X6LLbxpQ+ffr0A+G7e1P195u9uyK3d+9eNG/eHOfPnwdQ9FHo8ePH3T6+dOFauXIlbrnlFmzatAkOhwOnT5/G+fPnXR+tpqenuzygqPjNnTvX7TjdFbmS8ffu3RsLFizAmTNn0LBhQ6SlpaGgoADdu3fH0qVLXfenp6cjLy8Pd955Z5mPVkePHu16nuTkZAD/OyDCCmXLTJ9FTmeRK59x48ahS5cuuq+0kJycDFVVoaoqfvjhB12GrnhxrVU7bUzp06dPPxB+ZScE9uebvbsiBwBffvklIiMjERERgaioKGzevBmA5yIHABMnTkTbtm3RvHlzdO7c2XUQw/z589GuXTt06NDBdbDCxo0b0aZNG3Ts2NHtwQ7uihxQdHTt6NGj4XA4NB3sEBMT4ypyaWlp+Otf/4qIiAi0adMGAwcOBFD2yNZAly0zfRY5A4rc1q1bERYWpntPWlJSUmBKHOBVkQPsszGlT58+/UD4nq7sEMxlgn7gfBY5H4vcpUuX0LRpUyxevLjSx3jKli1bXCVu06ZNugyf4mWRA+yxMaVPnz79QPhVXaIrWMsE/cD5LHI6i1z42HCEjw3H+++/j+eee67ype4hmzdvdpW4n3/+WZfhc3QUOcD6G1P69OnTD4Sv5VqrwVgm6AfOZ5HTWeRKjlrt378/Zs+e7XmpV5JDhw5h+PDh2LZtm66/NyQ6ixxg7Y0pffr06QfC11LkgOArE/QD57PI6SxyKY4UpDhS0LJlS+zatavKhV5ZLl++rPtvDYkPRQ6w7saUPn369APhay1yQHCVCfqB83fs2FHhdyxyGoocAKSnp6NGjRqaL2LvdDqRmJiII0eOaHq8X+JjkQOsuTGlT58+/UD43hQ5IHjKBP3A+StXrqwwP1nkNBa55cuX47777qtqOQMoKnErVqyAqqoYNWoUsrKyNP2d6TGgyAHW25jSp0+ffiB8b4scEBxlgn7g/B07dlSYnyxyGopcTEIMooZEuT2zdfk4nU4sW7YMqqoiNjZW14puWgwqcoC1Nqb06dOnHwhf7/bdyDf7a665BpGRka7bsWPHsGzZMvzxj39EREQEWrduDVVVART9/7r++usRGRmJVq1a4fXXX/f7+Ldt24aXXnrJNF9LSvyTJ09i6tSppvlmjH/fvn0V5ieLnIYiV3KwQ0JCQoXflY7T6URCQgJUVcWwYcNw4MABj4/3ewwscoB1Nqb06dOnHwjfl/9QN+rN3t0JgdetW4cePXogOTkZZ8+eRfPmzbF9+3asW7cOPXv2BABkZWWhVatW2Lhxo0c/Pz/f1PFX9jz+KHPLli1DmzZtTPPNGH/JnCs9P1nkNBS5aVum4bo7r3Nd7sRdCgsLsWTJEqiqiuHDh1c4y7UlYnCRA6yxMaVPnz79QPi+fuJixJt9ZUWuZ8+eLr9Pnz5YtGhRmSIHAI8//jgWLVpU4e/nzZuH3r17495778Xdd98NABg9ejSio6MRERGBDz74wDX+F198Ec2aNcMdd9yBJ554AmPGjAEAdOvWzXWWhrS0NDRq1KjM2ABgyJAh6N+/P26//XY88cQTKCgowBtvvOF6nokTJyI5ORnLli3D3XffjYcffhhNmjTB22+/jYULF6Jz585o37696/02NTUVffr0QXR0NKKjo10ldciQIfjb3/6Gbt26oUmTJpg0aRIAoE+fPvj973+PiIgIvPHGG7pfg8piRpkrPedK5ieLnIYit3z5cnTp0sXjwj179iyGDRuGESNG4OjRox4fG7CYUOSAwG9M6dOnTz8QfpkiV7J9NfpWRUp/tPqXv/zFNeaSsnTs2DGEh4djy5YtZe6/ePEioqKicPbs2QrmvHnzUK9ePdc1VVeuXImYmBg4nU4UFhaiZ8+e+OGHH5CUlIS2bdvip59+wunTp9GsWTOvi1xUVJTre+RxcXEYNmwYACAnJwe33HILdu3ahVmzZuGGG27AmTNnkJOTg7p167rK5MSJE/Hyyy8DKLoO64YNGwAAJ06cQOvWrV3P07VrV+Tk5CAtLQ0333wz8vLycOzYMbRp08ZW35kr/x8P67hHTluRe+KJJzR9jn7w4EHXhYktGZOKHBDcG2v69OnTd+dbochVtkfu+uuvR8eOHREVFYUJEya49mxdf/316NChA6677jq8++67bs158+aVOfn966+/jkaNGrkKY7NmzTB79mxMmDAB77//vqusvPjii14XuZLv7wFA37590aJFC9fzNG7cGCtXrsSyZcvQpUsXVxm66667XHvb1q5di0ceeQQAEBYWVub7gnXr1kVmZiaGDBmC4cOHu56ndevWOHXqlOsasHY6AILnkdNR5C5duoQ/dPoDFm5bWGHh5efn4/Tp0+6XthVTvGEIto0pffr06QfCN/JgNr1v9p4+Wi3vz5o1Cz169AAAHD16FLVr10ZycnKFvy99AXoAeO211zBjxowKjyspciX+008/7SpM3bt3x5YtWwAAp06dqrTIlRQ/oOijzhUrVrj9/1PynT+Hw1GmJJb2atasiezs7Ap/X/552rVrh2PHjrmKXMn47VDmjC5y10gIJD4+XrIeyZL+y/qXub+goEC++uormT9/vhw7dixAo9OXfv36yfr16w1377nnHomPj6dPnz59+l6mRo0a0qxZMzly5IhkZmaa4tetW1eysrIkMzNTmjRpIu+884589NFHVf5tjx49ZO7cuXLlyhUREUlJSZHU1FS5++67ZenSpZKdnS0iIps3b5YLFy5IZmamNG7cWLZv3y4iIosXL9Y0xh49esj06dMlPz9fREQOHjwoV69eFRGRa6+91rV8CgsL3f79n//8Z/n4449dP+/cudPj89WoUcO1rP2x/M309SYkityCBQsk+vpo6dWyl+u+/Px8+eKLL+TQoUPy29/+Vq677roAjtD72HljR58+ffrB6pv9Zv+HP/xB/vCHP7j8f/7zn/Ljjz/K8ePHPf7dn//8Z3nqqaeka9euEhERIY899phkZmZKVFSUPP744xIZGSkPPvigdOnSRWrWrClHjhyRQYMGyfTp06VTp06Snp6uaXzPP/+8tG3bVqKioqR9+/YycOBAKSgocP2+ZPlkZ2e7Cl7pTJ48WZKSkqRDhw7Stm1bmTFjhsfnq1mzptxxxx3Svn17efPNN0OzzOndlWflW+mPVs+dO4cbb7wRubm5rvtyc3Mxf/58qKqKMWPGeDyS1XIp9Z2LYPyYgz59+vT96bu7XJIRscvHfOVT8hGmXcdvB5/fkfOyyB0+fBhNmzZ1/ZyTk4M5c+ZAVVWMHTsWaWlpVS91K6Xcl2eDZWNKnz59+oHwV65cack3+0D5pb+LZsfx28FnkfOhyDmdTteeuPHjxyM9PV3bUrdS3BwFFQwbU/r06dMPhL9jxw5LvtnTD16fRU5nkSu5ssPhw4fx8ccf4+LFi5oXuqVSyeHsdt+Y0qdPn34g/H379lnyzZ5+8Poscj4WOaDoCg62jYfzEtl5Y0qfPn36gfD37dsHp9NpuTd7+sHpO51OFjktt9JFbvfu3XjppZesebktPaniBJN23ZjSp0+ffiD8o0ePIi0tjWWOvum+0+lEWlqa2ytH+VLklKK/D65ER0cjKSlJHA6HzJw5U65evSp169aV559/XhRFCfTwfEvJ+D28buvXr5d+/fpJfHy83HPPPYYPgT59+vSDxc/Pz5fTp09LTk6OiIjk5ORIWlqahIWFSbVq1Xz2y4d+aPvVqlWT+vXry29/+9sy9yuKsh1AtK4n1dsAjbqJyAMickBEDovIO25+/3sRWVT8+y0i0rgq85ZbbsGlS5cwadIkqKqK9957D1euXNFSqK0fjZd8seN/GdOnT58+ffqh6ItdP1oVkd+IyBERaSoivxORX0SkbbnH/J+IzCj+9xMisqgqt2PHjpg4cSJUVcXbb7+NOXPmaF6Ylo8X11q14mSlT58+ffr06ZeNnYtcVxFZWernd0Xk3XKPWSkiXYv/fa2IpIsUfSRc2a1+/fpQVRXjxo1DgwYNsHv3bk0L0hbxosgB1pus9OnTp0+fPv2ysXORe0xEZpf6+RkRmVLuMXtEpH6pn4+ISC1Pbnh4OP7973+jXbt2eO2113D16lWNi90G8bLIAdaarPTp06dPnz79svGlyAX0YAdFUR4TkQcAPF/88zMi0gXAv0o9Zk/xY04X/3yk+DHp5awXROSF4h/bS1EBZOyZWlK055WxX/ja2Tt8/ewbvnb2TisANfT84bVGj8TLpIhIg1I/1y++z91jTiuKcq2I3CAiF8pDAGaKyEwREUVRkqD36A8m4OHrZ9/wtbN3+PrZN3zt7B1FUZL0/u01Rg5ER7aJSAtFUZooivI7KTqYIaHcYxJEZEDxvx8TkUQEcjciwzAMwzCMRRLQPXIAChRF+ZcUHdDwGxGZC2CvoiixUvR5cYKIzBGRTxVFOSwiF6Wo7DEMwzAMw4R8Av3RqgBYLiLLy933Qal/54hIPy/ZmQYMjQlc+PrZN3zt7B2+fvYNXzt7R/frF5RXdmAYhmEYhgmFBPo7cgzDMAzDMIzO2LrIKYrygKIoBxRFOawoyjtufv97RVEWFf9+i6Iojf0/SsZdNLx2rymKsk9RlF2KoqxVFKVRIMbJuE9Vr1+px/VVFAWKovBoOgtFy+unKMpfi9fBvYqifO7vMTLuo2Hb2VBRlHWKoiQXbz8fCsQ4mYpRFGWuoiipxadVc/d7RVGUycWv7S5FUaK0uLYtcoqi/EZEporIgyLSVkSeVBSlbbmH/UNEMgA0F5EJIvKRf0fJuIvG1y5ZRKIBdBCRxSIy2r+jZCqLxtdPFEWpISIvS9E1khmLRMvrpyhKCym60s4dANqJyCt+HyhTIRrXvf+IyFcAOknRwYHT/DtKxkPmS9H15SvLgyLSovj2gohM14LatsiJyK0ichjAUQB5IvKliDxS7jGPiMgnxf9eLCLdFUVR/DhGxn2qfO0ArAOQVfzjz1J0jkHGGtGy7omIDJOi/3jK8efgmCqj5fWLEZGpADJERACk+nmMjPtoee0gItcX//sGETnjx/ExHgLgRyk6+0ZleUREFhRf7OFnEblRUZTwqlw7F7l6InKq1M+ni+9z+xgABSJyWURq+mV0jKdoee1K5x8i8r2pI2K8SZWvX/FHAg0ALPPnwBhN0bL+tRSRloqibFIU5WdFUTztRWD8Fy2vnSoi/RVFOS1FZ4R4yT9DYwyIt++NImKB048wjKcoitJfRKJFpFugx8Joi6Io14jIeBF5LsBDYfTnWin6eOceKdob/qOiKBEALgV0VIyWPCki8wGMUxSlqxSdh7U9AGegB8aYEzvvkfPm8l7i6fJejN+j5bUTRVHuF5HBIvIwgFw/jY2pOlW9fjWk6HrH6xVFOS4it4lIAg94sEy0rH+nRSQBQD6AYyJyUFbKGf4AAAsFSURBVIqKHRPYaHnt/iEiX4mIANgsItWk6DqsjPWj6b2xfOxc5Hh5L/umytdOUZROIhInRSWO38+xVjy+fgAuA6gFoDGAxlL0HceHAei+liBjaLRsO5dK0d44URSllhR91HrUn4Nk3EbLa3dSRLqLiCiK0kaKilyaX0fJ6E2CiDxbfPTqbSJyGcDZqv7Ith+t8vJe9o3G126MiPxRROKLj085CeDhgA2acUXj68dYNBpfv5Ui8mdFUfaJSKGIvAmAn2YEOBpfu9dFZJaiKK9K0YEPz3EHhjWiKMoXUvQfSLWKv8M4RER+KyICYIYUfafxIRE5LCJZIvI3TS5fX4ZhGIZhGHvGzh+tMgzDMAzDhHRY5BiGYRiGYWwaFjmGYRiGYRibhkWOYRiGYRjGpmGRYxiGYRiGsWlY5BiG8RhFUe5XFAWKovwn0GOxUvQuF0VRThefEolhGMbnsMgxTBCkuFB4uj0X6DGGShRF2agoSkGgxxGoKIpybfGcWxPosTBMKMS2JwRmGMZthlZy/06/jiI08pOItBHvz5rfTYpO1MowDONzWOQYJogCQA30GEIlALJEZL+OvztiwnAYhgnR8KNVhgmxKIrSSlGUjxRFSVIUJU1RlFxFUY4rihKnKEo9L5xmiqLMVhTliKIo2YqiXFAUZbeiKNMVRbnJzeOfVhRlvaIolxRFyVEUZZ+iKO8VXzNS63MuLP7YrqGiKG8qinKg2DqlKMo4RVFqVPJ3nRVFWfL/2zv3YKvqKo5/vlwUCnnqCBgPS4w0yEoIEEhFSyFDmNRmSpRBbCYxm7RyHHFwRIcmxidYjlYCQy8Q1B6+EHwAllmoARlqKXAh0FQUeXNZ/bF+Bza7fe49Z8Bhjnd9Zn6z71m/tX+ve+7da9Zv/dbOzXe6pC4Ful0k3ZLa3pLG+09J90o6NqO3X4ycpF6SDBgM1OW2th/P3LdfjJykiUlnQpmxd5fUIOnPOXlLSZdLelbSZklbJS2TdJnSe+0qXNMlknZLaiXpekkvpzX6WarvIOmHkp6QtE7STklvSHpA0oBcW+OBXenjGbk1mJjTHSRpnqSNqc21ku6S1LXSsQdBEB65IGiOnA98C3gCWIo/ePsClwLnSOrX1Iuak8H3HP4+3IeA+4CPAB8HLgJuB97J6M9M8jVJ913gFOAmYJiks8ysoYo5TAOGAnNSW8OBK4Ehkr5oZjsyfY9Kepb6XgP0ByYA50oabGZrkm4bfMv0WGAB/hLrFkBPYDTwW+D1MmN6G9/aHgd0A27I1DX2wvlZSfci4M6C+jFpDDMyczoc+CNwJu4VnA3sAIalNvpT4XsaM9wPfBZ/j+f9QOk70Ae4EXgK+D2wCV+PkcAISSPMrGSoLgMmA9cBr6W5lXg6M/5LgbuAbfga1wOfZN93cICZraty/EHQPDGzKFGi1HjBjRQDri8oY3O63YBWBW0MB/YA03LyM1PbEzOy0gu5JxS0cwTQOvN5fNKdk5Wnusnl2ikzz9lJ/w2ge0ZeBzyQ6q7JyNvhBuVu4JRcW9cm/YcystFJNrWg71ZA28bWJcmXALsbmUM98GpOtjC19akC/VXAdqBjRnZj0r8NqMutw4xU95UK13RJ0n8eOLKgvkMZeU9gA7A8J2+Z2nu8TH8nADvTvLrm6r4MNABzD/XfVJQotVJiazUIPlxMKihjswpmVm8Zj1VG/jDu3Tmriv62FbTzvpltz4i+iz+4x+fk4B6sTcA3q+gT4FYzW5vpswH4AW5AjMvojcYNkV+Z2TO5Nn4MrAWGF2wpF81rh5ltrnKclTIzXS/OCiUNxD1VvzOzd5KsDvcmrgOusownM/38/fSx2jWdaGZv5YVmtqmMfDUwH+gj6Zgq+rkMOAy4wnKeXzN7DPfwjkre0SAImiC2VoPgQ4SZNRkbleKnxuBGw2eAjrgnp8TWCrp6EPem3SVpBL4dtxR4ycz2nshMMWt9gI3AlWVCt7bjXppqeCovMLNXJK0Heklqm4yuz6fqRQX6uyQtBr6Bbymuw7eb/wNMlNQfNyqWAi+Y2Z4qx1gN8/At0QslXZvpq2TYzcjonoAbpxuB6w7imv6lXIWkocAVwEDgaCAf1/gxYH2F/QxK19MlDSqoPwp/NvUCXqywzSBotoQhFwTNjzuAy/EH7yO4AVPylI0DmvSumNm/U6D7JNyD97VUtUbSVDObnj53StfOSbcc1eZd21hGvgE3KtoBm4H2SV4u5q8k7wDufUpesOuBrwJnp/o3Jd0J3GRmBz1HnJltkTQXj2s7A1ggqRXwdXxOj2bUj0zX3jS+pkdUMYQGMytMoyLpfOA3uJdyAR7vtwXfhh+Gxyq2qqKv0vivbkKvmvEHQbMlDLkgaEakE4ETcE/HYDPbkqsfU2lbZrYSuEBSS+AkPL7pO8A0SZvNbCZ+EAHgOTP7wsGYQ6IzUJTGo3QK9b10fTcnz9M1p4f5wYdxkloAJ+LGyuW4cQflc/UdKDNxQ+5i3GAaiXtLb7b9D4KUxjrXzC74gMaSZTJu6J9sZquyFZK644ZcNZTG38Y8hUsQBAdAxMgFQfPiOEDAowVGXE/8tGZVmNluM/ubmU1hX1zWqFS3CQ9q7yupw4EMPMepeYGk43Fv4quZWLbn0/W0Av3D8FQhWb29mNkeM1thZnewL25wVAVja/DmK08Bknga93aNTlvSpW3VmTm9lbi3cVAyoj9ojgNWFBhxdexbvyylbeG6gjqAUhqVag3AIAgKCEMuCJoXr6fr0PQgBvbGst1Nhf8TJPWT1K6gqnO6Zj0ttwCtgZ9Lap+/QVInSZ+rpN8M30veoFIbdcBU3Ei9N6M3Hz9McWGKectyFX7y8hFLqS4k9ZF0dEF/RfMqx1v4OnarZCIlUmzhLOCjuNf0LGCZmS3P6e0Cpqf2b5PUOt+WpGMkVRsjV47VQG9lcu4lI/UGfHs3P489+EnhHmXam4Zvpd8uqVe+UtLhkoYcjIEHQXMgtlaDoBlhZvWS7gPOA5alRLXt8W3R94Hl+HZiU4wFLkmHBf6FG0u98Liy7XgeuVKfd0s6Gc9dd6qkx/Bcbp2AT+CemXvw7ctK+RPwoqRsHrm+eG67mzN9vyfpEjz/2+IUh7YW6Ad8CY8T/Ham3bOBKZKeAV7GX7/VHTgX9zRNrWBsC/HTsg9IegSPLXvNzH5Zwb2z8Li3G/D/z3lvXIlJ+EGVUi68RWkunYHj8Rx9VwMvVdBnU9yKG44vSJqHG2FD8dO0fwDOKbhnIXCepAdxb+du4EkzW2JmK1Pi4HuAf0h6GHgFj7Prkdpejx+SCYKgKQ51/pMoUaIceCHlkatQtw0wBXgVN7rW4A/qjhTkQKM4j9wgPKHr3/FEuNtSe78ATizT70g8ie2beBLiDcCzeAxW7wrHXsoj1wNPN7IKT4Rbj3v+2pa5bwCeZ+6/eCqU1cBP+P88Zp/GDZe/pnFux72Yc4CBTa1LkrcEfoQnxN1FLqcaBXnkcvc/me7ZCRzViF4LfPt1Ufod7MQPriwGrgG6Vbimjea9Szrj8LjKrWkN56e1KuWzG5LT7wL8Gs/311BmnU7CDdXV6Xf4NrAC+Clw2qH+m4oSpVaKzOLdzUEQ1AaSZuNxeN3NrP5QjycIguBQEzFyQRAEQRAENUoYckEQBEEQBDVKGHJBEARBEAQ1SsTIBUEQBEEQ1CjhkQuCIAiCIKhRwpALgiAIgiCoUcKQC4IgCIIgqFHCkAuCIAiCIKhRwpALgiAIgiCoUcKQC4IgCIIgqFH+B6i3hiqOudezAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "get_roc_plot(y_predicted_proba[:,1], y_test, fpr_bar=.1, figsize=(10,10))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For the chosen FPR requirement of `.1` , our model reached around `.2` true positive rate. In an application where maintaining this FPR constraint is important, this is the metric we should track in following experiments."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Calibration curve\n",
    "\n",
    "Finally, we'll plot a calibration curve, which plots the fraction of actual positive examples as a function of a model's probability score. Such a curve allows us to measure the quality of a model's probability estimate (when a model says a question has a `60%` chance to be good, is that actually the case?)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "No handles with labels found to put in legend.\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\tBrier: 0.236\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 648x648 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "get_calibration_plot(y_predicted_proba[:,1], y_test, figsize=(9,9))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "On this plot, we can see that the model is well calibrated between .2 and .7, and poorly outside of that. This is in part due to the fact that the model mostly outputs scores between .2 and .7 as you can see on the histogram of scores below. We also display the [Brier score](https://en.wikipedia.org/wiki/Brier_score) which is a measure of calibration ranging from 0 to 1, with a value of 0 being reached for a perfectly calibrated model.\n",
    "\n",
    "To gain an even better understanding of success and failure modes of our model, we can examine individual examples to identify error trends (which we will do in the top-k [notebook](https://github.com/hundredblocks/ml-powered-applications/blob/master/notebooks/top_k.ipynb) ), and dig into the trained model's parameters."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "ml_editor",
   "language": "python",
   "name": "ml_editor"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
